List of publications


  1. On a bilinear multiplicative operator, In: Issled. Teor. Funkst. Mnogikh Veshchestv. Perem., Yaroslavl' Gos. Univ., Yaroslavl'. 1982, 3-15 (in Russian).
  2. On the stability of the real interpolation method, Dokl. Akad. Nauk UzSSR, 1983, no. 4, 10-11 (in Russian).
  3. A description of interpolation spaces between (l_1(w^0),l_1(w^1)) and (l_\infty(w^0),l_\infty(w^1)), Mat. Zametki 35(1984), no 4, 497-503 (in Russian); English transl. in Math. Notes 35(1984), no. 4, 261-265.
  4. About interpolation spaces with respect to l_1(w^0) and l_1(w^1), In: Measure and Integral, Kuibyshev Gos. Univ., Kuibyshev. 1984, 25-34 (in Russian).
  5. Stable interpolation functors, Funktsional. Anal. i Prilozhen. 19(1985), no. 2, 63-64 (in Russian); English transl. in Funct. Anal. Appl. 19(1985), 133-134.
  6. A property of functors of the real interpolation method, Mat. Zametki 38(1985), no. 3, 393-406 (in Russian); English transl. in Math. Notes 38(1985), no. 3, 725-732.
  7. (joint with M. Sh. Braverman) On a subspace of a symmetric space generated by the Rademacher system with vector coefficients, In: Operator Equations in Function Spaces, Voronezh Gos. Univ., Voronezh. 1986, 3-10 (in Russian).
  8. On symmetric space with trivial Boyd indices, In: Measure and Integral, Kuibyshev Gos. Univ., Kuibyshev. 1988, 23-26 (in Russian).
  9. (joint with V. I. Ovchinnikov) A functorial approach to interpolation of operators of weak type, Sibirsk. Mat. Zh. 32(1991), no. 3, 12-23 (in Russian); English transl. in Siberian Math. J. 32(1991), no. 3, 360-370.
  10. On interpolation of bilinear operators by the real method, Mat. Zametki 52(1992), no. 1, 15-24 (in Russian); English transl. in Math. Notes 52(1992), no. 1, 641-648.
  11. On cones of step functions in symmetric spaces, Sibirsk. Mat. Zh. 34(1993), no. 4, 7--16 (in Russian); English transl. in Siberian Math. J. 34(1993), no. 4, 597-605.
  12. Interpolation of operators in quasinormed groups of measurable functions, Sibirsk. Mat. Zh. 35(1994), no. 6, 1215-1222 (in Russian); English transl. in Siberian Math. J. 35(1994), no. 6, 1075-1082.
  13. On orbital description of complex method of interpolation, In: Measure and Integral, Samara Gos. Univ., Samara. 1995, 28-34 (in Russian).
  14. On multiplier of a rearrangement invariant space with respect to the tensor product, Funktsional. Anal. i Prilozhen, 30 (1996), no. 4, 58-60 (in Russian); English transl. in Funct. Anal. Appl. 30 (1996), no. 4, 267-269.
  15. (joint with Yu. E. Kim) Interpolation of bilinear operators in Marcinkiewicz spaces, Mat. Zametki 60(1996), no. 4, 483-494 (in Russian); English transl. in Math. Notes 60(1996), no. 4, 363-371.
  16. On interpolation of subspaces of symmetric spaces generated by the Rademacher system, Transactions of RANS, series MMMIC, 1(1997), no. 1, 18-35 (in Russian).
  17. Tensor product in symmetric function spaces, In Proceedings of Fourth International Conference on Function Spaces (Zielona Gora, 1995), Collect. Math. 48(1997), no. 4-6, 375-391.
  18. Interpolation of positive polylinear operators in Calderon-Lozanovskii spaces, Sibirsk. Mat. Zh. 38(1997), no. 6, 1211-1218 (in Russian); English transl. in Siberian Math. J. 38(1997), no. 6, 1047-1053.
  19. Operators of weak type and stability of the real interpolation method in symmetric spaces, Transactions of RANS, series MMMIC, 1(1997), no. 4, 3-25 (in Russian).
  20. On series with respect to the Rademacher system in symmetric spaces "close" to L_\infty, Funktsional. Anal. i Prilozhen. 32(1998), no. 3, 62-65 (in Russian); English transl. in Funct. Anal. Appl. 32(1998), no. 3, 192-194.
  21. Rademacher chaos in symmetric spaces, East J. Approx. 4(1998), no. 3, 311-336.
  22. K-monotone weighted pairs generated by a space noninvariant concerning to shift, In: Trudy of 2nd Intern. Semin. "Differ. Equations and their Appl." Samara. 1998, 19-25 (in Russian).
  23. Disjointly strictly singular inclusions of symmetric spaces, Mat. Zametki 65(1999), no. 1, 3-14 (in Russian); English transl. in Math. Notes 65(1999), no. 1, 3-12.
  24. Extraction of subsystems "majorized" by the Rademacher system, Mat. Zametki 65(1999), no. 4, 483-495 (in Russian); English transl. in Math. Notes 65(1999), no. 4, 407-417.
  25. On the selection of subsystems equivalent in distribution to the Rademacher system, Mat. Zametki 66(1999), no. 3, 473-477 (in Russian); English transl. in Math. Notes 66(1999), no. 3, 384-388.
  26. Multiple Rademacher series in rearrangement invariant spaces, Funktsional. Anal. i Prilozhen. 33(1999), no. 2, 73-76 (in Russian); English transl. in Funct. Anal. Appl. 33(1999), no. 2, 141-143.
  27. Rademacher chaos in symmetric spaces, 2, East J. Approx. 6(2000), no. 1, 71-86.
  28. Systems of random variables equivalent in distribution to the Rademacher system and K-closed representability of Banach couples, Mat. Sbornik 191(2000), no. 6, 3-30 (in Russian); English transl. in Sbornik: Math. 191(2000), no. 6, 779-807.
  29. Fourier-Rademacher coefficients of functions in symmetric spaces, Sibirsk. Mat. Zh. 41(2000), no. 4, 729-739 (in Russian); English transl. in Siberian Math. J. 41(2000), no. 4, 601-610.
  30. (joint with E. M. Semenov) The Fourier-Rademacher coefficients, Dokl. Akad. Nauk 375(2000), no. 1, 7--9 (in Russian); English transl. in Doklady Math., 62(2000), no. 3, 316—319.
  31. (joint with Ju.V. Solodyannikov) Convolutional empirical processes and statistic tests related with them. "Samara University", Samara, 2000 (in Russian).
  32. (joint with V.A. Kostin and S. Ya. Novikov) Evgenii Mikhailovich Semenov (on his 60th birthday), Transactions of RANS, series MMMIC, 4(2000), no. 3, 7-26 (in Russian).
  33. About interpolation of subspaces of rearrangement invariant spaces generated by Rademacher system, Int. J. Math. Math. Sci. 25(2001), no. 7, 451-465.
  34. (joint with S. M. Nikol'skii and S. Ya. Novikov) Evgenii Mikhailovich Semenov (on his 60th birthday), Uspekhi Mat. Nauk 56(2001), no. 6, 171-175 (in Russian); English transl. in Russian Math. Surveys 56(342)(2001), no. 6, 1193-1198.
  35. Exact K-monotonicity of one class of Banach pairs, Sibirsk. Mat. Zh. 43(2002), no. 1, 14-32 (in Russian); English transl. in Siberian Math. J. 43(2002), no. 1, 5-21.
  36. On the exact K-monotonicity of Banach couples, Funktsional. Anal. i Prilozhen. 36(2002), no. 3, 60-63 (in Russian); English transl. in Funct. Anal. Appl. 36(2002), no. 3, 217-219.
  37. (joint with R. Ph. Uzbekov) On K-closed subcouples and relative completions, Vestnik Samara Gos. Univ. 26(2002), no. 4, 5-12 (in Russian).
  38. Images of operators in rearrangement invariant spaces and interpolation, In Proc. of Sixth Intern. Conf. on Function Spaces (Wroclaw, 2001), Marcel Decker Inc. 2003, 49-64.
  39. (joint with L. Maligranda and E. M. Semenov) On complementability of subspaces generated by contractions and shifts of functions, Dokl. Akad. Nauk 66(2002), no. 3, 390-392 (in Russian); English transl. in Doklady Math. 387(2002), no. 5, 583-585.
  40. (joint with L. Maligranda and E. M. Semenov) Multiplicator space and complemented subspaces of rearrangement invariant space, J. Funct. Anal. 202(2003), 247-276.
  41. Some new extrapolation estimates for the scale of L_p-spaces, Funktsional. Anal. i Prilozh. 37(2003), no.3, 73-77 (in Russian); English transl. in Funct. Anal. Appl. 37(2003), no. 3, 221-224.
  42. (joint with L. Maligranda) On interpolation in L_p-spaces, Mat. Zametki 74(2003), no. 5, 782-786 (in Russian); English transl. in Math. Notes 74(2003), no. 5, 734-739.
  43. Extrapolation properties of the scale of L_p-spaces, Mat. Sbornik 194(2003), no. 6, 23-42 (in Russian); English transl. in Sbornik: Math. 194(2003), no. 6, 23-42.
  44. On the multiplier space generated by the Rademacher system, Mat. Zametki 75(2004), no. 2, 173-181 (in Russian); English transl. in Math. Notes 75(2004), no. 2, 158-165.
  45. (joint with L. Maligranda) Interpolation between L_1 and L_p, 1
  46. (joint with F. A. Sukochev) Comparison of sums of independent and disjoint functions in symmetric spaces, Mat. Zametki 76(2004), no. 4, 483-489 (in Russian); English transl. in Math. Notes 76(2004), no. 4, 449-454.
  47. Extrapolation functors on a family of scales generated by the real interpolation method, Sibirsk. Mat. Zh. 46(2005), no. 2, 264-289 (in Russian); English transl. in Siberian Math. J. 46(2005), no. 2, 205-225.
  48. On interpolation of intersections by the real method of interpolation, Algebra i Analiz 17(2005), no. 2, 33-69 (in Russian); English transl. in St. Petersburg Math. J. 17(2006), no. 2, 239-266.
  49. On interpolation of intersections generated by a linear functional, Funktsional. Anal. i Prilozh. 39(2005), no. 2, 61-64 (in Russian); English transl. in Funct. Anal. Appl. 39(2005), no. 2, 131-134.
  50. (joint with F.A. Sukochev) Series of independent random variables in r.i.s.: an operator approach, Israel J. of Math. 145(2005), 125-156.
  51. (joint with E.M. Semenov and F.A. Sukochev) The Banach-Saks p-property, Math. Annalen 332(2005), 879-900.
  52. (joint with G.P. Curbera) Symmetric kernel of Rademacher multiplicator spaces, J. Funct. Anal. 226(2005), 173-192.
  53. (joint with K.V. Lykov) Extrapolatory description for the Lorentz and Marcinkiewicz spaces “close" to L_\infty, Sibirsk. Mat. Zh. 47(2006), no. 5, 974-992 (in Russian); English transl. in Siberian Math. J. 47(2006), no. 5, 797-812.
  54. (joint with P. Sunehag) The real method on couples on intersections , Funktsional. Anal. i Prilozh. 40(2006), no. 3, 66-69 (in Russian); English transl. in Funct. Anal. Appl. 40(2006), no. 3, 218-221.
  55. (joint with F. A. Sukochev) Sums of independent functions in symmetric spaces with the Kruglov property, Mat. Zametki 80(2006), no. 4, 630-636 (in Russian); English transl. in Math. Notes 80(2006), no. 4, 593-598.
  56. On the normability of Marcinkiewicz classes, Mat. Zametki 81(2007), no. 4, 483-489 (in Russian); English transl. in Math. Notes 81(2007), no. 4, 429-434.
  57. (joint with F.A. Sukochev) Banach-Saks property in Marcinkiewicz spaces, J. Math. Anal. Appl., 336(2007), no. 2, 1231-1258.
  58. (joint with F. A. Sukochev) Series of independent mean zero random variables in rearrangement invariant spaces with the Kruglov property, Zap. nauchn. semin. POMI. Issled. po lin. oper. i teor. f-ii. Ch. 35. 345(2007), 25-50 (in Russian); English transl. in Math. Sciences. 148(2008), no. 6, 795-809.
  59. Interpolation of subspaces of codimension one, Vestnik Samara Gos. Univ. 59(2007), no. 9/1, 75-84 (in Russian).
  60. Lieb-Thirring inequality for L_p-norms, Mat. Zametki 83(2008), no. 2, 163-169 (in Russian); English transl. in Math. Notes 83(2008), no. 1-2, 145-151.
  61. (joint with P. Sunehag) Real method of interpolation on subcouples of codimension one, Studia Math. 186(2008), no.2, 151-168.
  62. (joint with F. A. Sukochev) Sequences of independent identically distributed functions in rearrangement invariant spaces, Function spaces VIII, Poland, 2006, Banach Center Publ. V. 79, Warszawa, 2008, 27-37.
  63. A generalized Khintchine inequality in rearrangement invariant spaces, Funktsional. Anal. i Prilozh. 42(2008), no. 2, 78-81 (in Russian); English transl. in Funct. Anal. Appl. 42(2008), no. 2, 144-147.
  64. (joint with G.P. Curbera) Rademacher multiplicator spaces equal to L^\infty, Proc. Amer. Math. Soc. 136(2008), 3493-3501.
  65. Independent functions in symmetric spaces and Kruglov property, Mat. Sbornik 199(2008), no. 7, 3-20 (in Russian); English transl. in Sbornik: Math. 199(2008), no. 7, 945-963.
  66. (joint with L. Maligranda) Ultrasymmetric Orlicz spaces, J. Math. Anal. Appl., 347(2008), 273-285.
  67. (joint with L. Maligranda) Cesaro function spaces fail the fixed point property, Proc. Amer. Math. Soc., 136(2008), no. 12, 4289-4294.
  68. (joint with N. Kalton and F. A. Sukochev) Cesaro mean convergence of martingale differences in rearrangement invariant spaces, Positivity, 12(2008), 387-406.
  69. (joint with K.V. Lykov) Strong extrapolation spaces and interpolation, Sibirsk. Mat. Zh. 50(2009), no. 2, 250-266 (in Russian); English transl. in Siberian Math. J. 50(2009), no. 2, 199-213.
  70. Rademacher functions in symmetric spaces, Contemporary mathematics. Fundamental Directions, Russian Peoples’ Friendship University 32(2009), 3-161 (in Russian); English transl. in J. Math. Sci. 169(2010), no. 6, 725-886.
  71. (joint with D.V. Zanin, E.M. Semenov, and F. A. Sukochev) Kruglov operator and operators defined by random permutations, Funktsional. Anal. i Prilozh. 43(2009), no. 2, 3-18 (in Russian); English transl. in Funct. Anal. Appl. 43(2009), no. 2, 83-95.
  72. (joint with E.M. Semenov and F. A. Sukochev) Banach-Saks type properties in rearrangement-invariant spaces with Kruglov property, Houston Math. J., 35(2009), no. 3?, 959-973.
  73. (joint with E.M. Semenov and F. L. Hernandez) Strictly singular inclusions of rearrangement invariant spaces and Rademacher spaces, Stud. Math. 193(3)(2009), 269-283.
  74. (joint with G.P. Curbera) Rearrangement invariance of Rademacher multiplicator spaces, J. Funct. Anal. 256(2009), 4071-4094.
  75. On the comparison of distribution functions of random variables, Mat. Zametki 87(2010), no. 1, 17-25 (in Russian); English transl. in Math. Notes 87(2010), no. 1, 15-22.
  76. (joint with K.E. Tikhomirov) On stably K-monotone Banach couples, Funktsional. Anal. i Prilozh. 44(2010), no. 3, 65-69; English transl. in Funct. Anal. Appl. 44(2010), no. 3, 212-215.
  77. (joint with K.E. Tikhomirov) On stability of K-monotonicity of Banach couples, Rev. Mat. Compl. 23(2010), no. 1, 113-137.
  78. (joint with L. Maligranda) Structure of Cesaro function spaces, Indag. Mathem., N.S. 20(3)(2009), 329-379.
  79. (joint with L. Maligranda) Rademacher functions in Cesaro type spaces, Stud. Math. 198(3) (2010), 235-247.
  80. Vector – valued sums of independent functions in rearrangement invariant spaces, Sibirsk. Mat. Zh. 51(2010), no. 4, 738-750 (in Russian); English transl. in Siberian Math. J. 51(2010), no. 4, 584-594.
  81. (joint with F. A. Sukochev) Best constants in Rosenthal-type inequalities and the Kruglov operator, Ann. Probab. 38(2010), no. 5, 1986-2008.
  82. Rademacher series and isomorphisms of rearrangement invariant spaces on the finite interval and on the semi-axis, J. Funct. Anal. 260 (2011), 195-207.
  83. (joint with F. A. Sukochev) Independent functions and the geometry of Banach spaces, Uspekhi Mat. Nauk 65(396)(2010), no. 6, 3-86 (in Russian); English transl. in Russian Math. Surveys 65(396)(2011), no. 6, 1003-1081.
  84. (joint with K.V. Lykov) Extrapolation description of rearrangement invariant spaces and related problems, Proceedings of International Symposium on Banach and Function Spaces III (Kitakyushu, Japan, 2009), Yokohama Publisher (2011), 1-52.
  85. (joint with L. Maligranda) Geometry of Cesaro function spaces, Funktsional. Anal. i Prilozh. 45(2011), no. 1, 79-83 (in Russian); English transl. in Funct. Anal. Appl. 45(2011), no. 1, 64-68.
  86. On the finite representability of l_p-spaces in rearrangement invariant spaces, Algebra i Analiz , 23(2011), no. 2, 77-101 (in Russian); English transl. in St. Petersburg Math. J. 23(2012), no. 2, 257-273.
  87. (joint with F. A. Sukochev) Symmetric quasi—norms of sums of independent random variables in symmetric function spaces with the Kruglov propertyoperator, Israel J. of Math. 184 (2011), no. 1, 455-476.
  88. (joint with K.E. Tikhomirov) On some probabilistic analogs of Rosenthal inequality, Mat. Zametki, 90 (2011), no. 5, 665-671 (in Russian); English transl. in Math. Notes 90(2011), no. 5, 644-650.
  89. (joint with M. Leibov and L. Maligranda) Rademacher functions in BMO, Stud. Math. 205 (2011), no. 1, 83-100.
  90. (joint with F. A. Sukochev and C.P. Wong) Disjointification of martingale differences and conditionally independent random variables with some applications, Stud. Math. 205 (2011), no. 2, 171-200.
  91. (joint with R. S. Sukhanov) On some properties of Rademacher chaos, Mat. Zametki, 91(2012), no. 5, 654-666 (in Russian); English transl. in Math. Notes 91(2012), no. 5, 613-624.
  92. On geometrical properties of Cesaro spaces, Mat. Sbornik, 203(2012), no. 4, 61-80 (in Russian); English transl. in Sbornik: Math. 203(2012), no. 4, 514-533.
  93. (joint with K.V. Lykov and M. Mastylo) On extrapolation of rearrangement invariant spaces, Nonlinear Analysis 75(2012), 2735-2749.
  94. (joint with E.M. Semenov) Haar Series and Spaces, Determined by the Paley Function, Dokl. Akad. Nauk 86(2012), no. 1, 539-541 (in Russian); English transl. in Doklady Math. 445(2012), no. 5, 495-497.
  95. Rosenthal type inequalities for martingales in symmetric spaces, Izvestiya vuzov. Matematika 2012, no. 11, 60-66 (in Russian); English transl. In Russian Mathematics 56(2012), no. 11, 52-57.
  96. Geometrical properties of Banach spaces generated by sublinear operators, Positivity 17(2013), 223-234.
  97. (joint with F. A. Sukochev and C.P. Wong) Distributionally concave symmetric spaces and uniqueness of symmetric structure, Advances in Math. 232(2013) , 399-431.
  98. (joint with E.M. Semenov) Spaces defined by Paley function, Mat. Sbornik 204(2013), no. 7, 3-23 (in Russian); English transl. in Sbornik: Math. 204(2013), no. 7, 937-957.
  99. (joint with L. Maligranda and R.S. Sukhanov) Sequences of independent Walsh functions in BMO, Sibirsk. Mat. Zh. 54(2013), no. 2, 270-278 (in Russian); English transl. in Siberian Math. J. 54(2013), no. 2, 205-211.
  100. (joint with L. Maligranda) Interpolation of Cesaro sequence and function spaces, Stud. Math. 215(2013), no. 1, 39-70.
  101. On complementability of subspaces in symmetric spaces with Kruglov property, Funktsional. Anal. i Prilozh. 47(2013), no. 2, 80-84 (in Russian); English transl. in Funct. Anal. Appl. 47(2013), no. 2, 148-151.
  102. (joint with L. Maligranda) A short proof of some recent results related to Cesaro function spaces, Indag. Math. 24(2013), 589-592.
  103. On subspaces generated by independent functions in symmetric spaces with Kruglov property, Algebra i Analiz 25(2013), no. 4, 1-22 (in Russian); English transl. in St. Petersburg Math. J. 25(2013), no. 4.
  104. (joint with K.E Tikhomirov) A probabilistic version of Rosenthal’s inequality, Proc. Amer. Math. Soc. 141(2013), no. 10, 3539--3547.
  105. (joint with L. Maligranda and K.E. Tikhomirov) New examples of K-monotone weighted Banach couples, Stud. Math. 218(2013), no. 1, 55—88.
  106. (joint with L. Maligranda) Interpolation of Cesaro and Copson spaces}, Banach and function spaces IV. International Symposium, Kitakyushu, Japan (ISBFS 2012). Eds. M. Kato, L. Maligranda. Yokohama Publishers, 2013, 123--133.
  107. (joint with G. Curbera) A weighted Khintchine inequality, Revista Mat. Iberoamericana 30(2014), no. 1, 237--246.
  108. (joint with F. A. Sukochev) Orlicz sequence spaces spanned by identically distributed independent random variables in L_p--spaces, J. Math. Anal. Appl. 413(2014), 1--19.
  109. Lambda(p)--spaces, J. Funct. Anal., 266(2014), 5174--5198.
  110. (joint with G. Curbera) Local Khintchine inequality in rearrangement invariant spaces, Annali di Matematica Pura ed Applicata, DOI 10.1007/s10231-013-0391-1.
  111. Khintchine inequality on sets of small measure, Funktsional. Anal. i Prilozh.; English transl. in Funct. Anal. Appl. (to appear).
  112. (joint with L. Maligranda) Structure of Cesaro function spaces: a survey, Banach Center Publications (to appear).