Lizorkin Petr Ivanovich

Publications in Math-Net.Ru

1. Spaces of Banach-valued analytic and periodic functions
   
   Trudy Mat. Inst. Steklov., 210 (1995),  101–119
2. Two-weight estimates for multipliers, and embedding theorems
   
   Dokl. Akad. Nauk, 336:4 (1994),  439–441
3. On the approximation of functions on the sphere $\sigma$. On the spaces $B^\alpha_{p,q}(\sigma)$
   
   Dokl. Akad. Nauk, 331:5 (1993),  555–558
4. Nikol'skij–Besov spaces on the sphere in connection with approximation theory
   
   Trudy Mat. Inst. Steklov., 204 (1993),  172–200
5. Classes of holomorphic and harmonic functions in the polydisk in connection with their boundary values
   
   Trudy Mat. Inst. Steklov., 204 (1993),  137–159
6. On some equivalent norms of the Nikol'skii–Besov space on a sphere
   
   Dokl. Akad. Nauk, 322:2 (1992),  228–232
7. Functional spaces and approximation problems on Heisenberg group
   
   Trudy Mat. Inst. Steklov., 201 (1992),  245–272
8. Direct and inverse theorems of approximation theory for functions on Lobachevsky space
   
   Trudy Mat. Inst. Steklov., 194 (1992),  120–147
9. $\mathscr{B}$- and $\mathscr{L}$-classes of harmonic and holomorphic functions in the disc, and classes of boundary values
   
   Dokl. Akad. Nauk SSSR, 319:4 (1991),  806–810
10. Approximation on Riemannian manifold
    
    Trudy Mat. Inst. Steklov., 200 (1991),  222–235
11. Classes of functions constructed on the basis of averages over spheres. (The case of spaces of Sobolev type)
    
    Trudy Mat. Inst. Steklov., 192 (1990),  122–139
12. Estimates for the growth of solutions of differential equations
    
    Differ. Uravn., 25:4 (1989),  578–588
13. Embedding theorems for vector-valued functions. II
    
    Izv. Vyssh. Uchebn. Zaved. Mat., 1989, no. 2,  47–54
14. Embedding theorems for vector-valued functions. I
    
    Izv. Vyssh. Uchebn. Zaved. Mat., 1989, no. 1,  70–79
15. Functional spaces of mixed smoothness from decompositional point of view
    
    Trudy Mat. Inst. Steklov., 187 (1989),  143–161
16. Multiplicators, basises, unconditional basises in weighted spaces В and SB
    
    Trudy Mat. Inst. Steklov., 187 (1989),  98–115
17. The generalized Poisson integral and the smoothness of the solution of the Dirichlet problem for degenerate elliptic operators
    
    Differ. Uravn., 24:2 (1988),  305–313
18. Weighted function spaces and their applications to the investigation of boundary value problems for degenerate elliptic equations
    
    Izv. Vyssh. Uchebn. Zaved. Mat., 1988, no. 8,  4–30
19. Function classes that are constructed on the basis of averagings
    
    Sibirsk. Mat. Zh., 29:5 (1988),  181–190
20. Investigations in the theory of spaces of differentiable functions of several variables
    
    Trudy Mat. Inst. Steklov., 182 (1988),  68–127
21. A new approach to the theory of function spaces $B^r_{p,\theta}$ on a sphere
    
    Trudy Mat. Inst. Steklov., 181 (1988),  213–221
22. Symmetric averaged differences on a sphere
    
    Dokl. Akad. Nauk SSSR, 296:2 (1987),  271–274
23. Approximation of functions on the sphere
    
    Izv. Akad. Nauk SSSR Ser. Mat., 51:3 (1987),  635–651
24. Functional spaces on the sphere, related with approximation theory
    
    Mat. Zametki, 41:4 (1987),  509–516
25. Inequalities for harmonic, spherical and algebraic polynomials
    
    Dokl. Akad. Nauk SSSR, 289:3 (1986),  541–545
26. Approximation of functions by spherical polynomials in the metric $L_p$
    
    Dokl. Akad. Nauk SSSR, 289:2 (1986),  285–289
27. Inequalities of Bernstein type for spherical polynomials
    
    Dokl. Akad. Nauk SSSR, 288:1 (1986),  50–53
28. Estimates in integral norms of derivatives of harmonic polynomials and spherical polynomials
    
    Dokl. Akad. Nauk SSSR, 286:1 (1986),  23–27
29. Smoothness of the solution of the first boundary value problem for a second-order model degenerate elliptic differential operator
    
    Differ. Uravn., 22:11 (1986),  1945–1951
30. Approximation by spherical functions
    
    Trudy Mat. Inst. Steklov., 173 (1986),  181–189
31. Limit cases of theorems on $\mathscr F L_p$-multipliers
    
    Trudy Mat. Inst. Steklov., 173 (1986),  164–180
32. On the theory of Fourier multipliers
    
    Trudy Mat. Inst. Steklov., 173 (1986),  149–163
33. Approximation theory on the sphere
    
    Trudy Mat. Inst. Steklov., 172 (1985),  272–279
34. On the theory of degenerate elliptic equations
    
    Trudy Mat. Inst. Steklov., 172 (1985),  235–251
35. Estimates of approximate numbers of the imbedding operators for spaces of Sobolev type with weights
    
    Trudy Mat. Inst. Steklov., 170 (1984),  213–232
36. Approximation by spherical polynomials
    
    Trudy Mat. Inst. Steklov., 166 (1984),  186–200
37. Approximation on a sphere in the metric of the continuous functions
    
    Dokl. Akad. Nauk SSSR, 272:3 (1983),  524–528
38. Approximation on the sphere in $L_2$
    
    Dokl. Akad. Nauk SSSR, 271:5 (1983),  1059–1063
39. Coercive properties of an elliptic equation with degeneration and a generalized right-hand side
    
    Trudy Mat. Inst. Steklov., 161 (1983),  157–183
40. Coercive properties of an elliptic equation with degeneracy
    
    Dokl. Akad. Nauk SSSR, 259:1 (1981),  28–30
41. Elliptic equations with degeneracy. Differential properties of solutions
    
    Dokl. Akad. Nauk SSSR, 257:2 (1981),  278–282
42. An elliptic equation with degeneracy. A variational method
    
    Dokl. Akad. Nauk SSSR, 257:1 (1981),  42–45
43. Coercive properties of elliptic equations with degeneration. Variational method
    
    Trudy Mat. Inst. Steklov., 157 (1981),  90–118
44. Imbedding theorems and compactness for spaces of Sobolev type with weights. II
    
    Mat. Sb. (N.S.), 112(154):1(5) (1980),  56–85
45. Estimate of mixed and intermediate derivatives in weighted $L_p$-norms
    
    Trudy Mat. Inst. Steklov., 156 (1980),  130–142
46. Imbedding theorems and compactness for spaces of Sobolev type with weights
    
    Mat. Sb. (N.S.), 108(150):3 (1979),  358–377
47. Behavior at infinity of functions from Liouville classes. Riesz potentials of arbitrary order
    
    Trudy Mat. Inst. Steklov., 150 (1979),  174–197
48. On the closure of the set of compactly supported functions in the weighted space $W^l_{p,\Phi}$
    
    Dokl. Akad. Nauk SSSR, 239:4 (1978),  789–792
49. Bases and multipliers in the spaces $B^r_{p,\theta }(\Pi)$
    
    Trudy Mat. Inst. Steklov., 143 (1977),  88–104
50. Interpolation of $L_p$ spaces with weight
    
    Trudy Mat. Inst. Steklov., 140 (1976),  201–211
51. Interpolation of weighted $L_p$-spaces
    
    Dokl. Akad. Nauk SSSR, 222:1 (1975),  32–35
52. The functional characterization of the interpolation spaces $(L_p(\Omega),W^1_p(\Omega))_{\theta,p}$
    
    Trudy Mat. Inst. Steklov., 134 (1975),  180–203
53. Properties of functions in the spaces $\Lambda ^r_{p,\theta }$
    
    Trudy Mat. Inst. Steklov., 131 (1974),  158–181
54. On a theorem of Marcinkiewicz type for $H$-valued functions. A continual form of the Paley–Littlewood theorem
    
    Mat. Sb. (N.S.), 87(129):2 (1972),  229–235
55. Generalized Hölder classes of functions in connection with fractional differentiation
    
    Trudy Mat. Inst. Steklov., 128 (1972),  172–177
56. Operators connected with fractional differentiation, and classes of differentiable functions
    
    Trudy Mat. Inst. Steklov., 117 (1972),  212–243
57. Multipliers of Fourier integrals and bounds of convolution in spaces with mixed norms. Applications
    
    Izv. Akad. Nauk SSSR Ser. Mat., 34:1 (1970),  218–247
58. Description of the spaces $L_p^r(R^n)$ in terms of singular difference integrals
    
    Mat. Sb. (N.S.), 81(123):1 (1970),  79–91
59. Compactness of sets of differentiable functions
    
    Trudy Mat. Inst. Steklov., 105 (1969),  168–177
60. Generalized Liouville differentiation and the multiplier method in the theory of imbeddings of classes of differentiable functions
    
    Trudy Mat. Inst. Steklov., 105 (1969),  89–167
61. Generalized Liouville differentiation and the method of multiplicators in imbedding theory for function classes
    
    Mat. Zametki, 4:4 (1968),  467–482
62. Generalized Hölder spaces $B^{(r)}_{p,\theta}$ and their correlations with the Sobolev spaces $L_p^{(r)}$
    
    Sibirsk. Mat. Zh., 9:5 (1968),  1127–1152
63. Singular integral operators and sequences of convolutions in $L_p$ spaces
    
    Mat. Sb. (N.S.), 73(115):1 (1967),  65–88
64. On multipliers of Fourier integrals in the spaces $L_{p,\theta}$
    
    Trudy Mat. Inst. Steklov., 89 (1967),  231–248
65. Theorems of Littlewood–Paley type for multiple Fourier integrals
    
    Trudy Mat. Inst. Steklov., 89 (1967),  214–230
66. Nonisotropic Bessel potentials. Imbedding theorems for the Sobolev space $L_p^{(r_1,\dots,r_n)}$ with fractional derivatives
    
    Dokl. Akad. Nauk SSSR, 170:3 (1966),  508–511
67. The $L_p$-estimates of a certain class of non-isotropically singular integrals
    
    Dokl. Akad. Nauk SSSR, 169:6 (1966),  1250–1253
68. Fourier transformation in Besov spaces. The zero scale of $B^0_{p,\theta}$
    
    Dokl. Akad. Nauk SSSR, 163:6 (1965),  1318–1321
69. Bounds for trigonometrical integrals and an inequality of Bernstein for fractional derivatives
    
    Izv. Akad. Nauk SSSR Ser. Mat., 29:1 (1965),  109–126
70. Classification of differentiable functions on the basis of spaces with dominant mixed derivatives
    
    Trudy Mat. Inst. Steklov., 77 (1965),  143–167
71. Some inequalities for functions of weight classes and boundary-value problems with strong degeneracy on the boundary
    
    Dokl. Akad. Nauk SSSR, 159:3 (1964),  512–515
72. Functions of Hirschman type and relations between the spaces $B_p^r(E_n)$ and $L_p^r(E_n)$
    
    Mat. Sb. (N.S.), 63(105):4 (1964),  505–535
73. $(L_p,L_q)$-multipliers of Fourier integrals
    
    Dokl. Akad. Nauk SSSR, 152:4 (1963),  808–811
74. Characteristics of boundary values of functions of $L^r_p(E_n)$ on hyperplanes
    
    Dokl. Akad. Nauk SSSR, 150:5 (1963),  984–986
75. Generalized Liouville differentiation and the functional spaces $L_p^r(E_n)$. Imbedding theorems
    
    Mat. Sb. (N.S.), 60(102):3 (1963),  325–353
76. $L_p^r(\Omega)$ spaces. Continuation and imbedding theorems
    
    Dokl. Akad. Nauk SSSR, 145:3 (1962),  527–530
77. Imbedding theorems for functions of $L_p^r$
    
    Dokl. Akad. Nauk SSSR, 143:5 (1962),  1042–1045
78. The Green's $E$-function of a Beltrami operator and some variational problems
    
    Dokl. Akad. Nauk SSSR, 139:5 (1961),  1052–1055
79. Certain boundary-value problems for elliptic equations with strong degeneration at the boundary
    
    Dokl. Akad. Nauk SSSR, 137:5 (1961),  1015–1018
80. The Dirichlet principle for the Beltrami equation in a semi-space
    
    Dokl. Akad. Nauk SSSR, 134:4 (1960),  761–764
81. Boundary properties of functions from “weight” classes
    
    Dokl. Akad. Nauk SSSR, 132:3 (1960),  514–517


82. Lev Dmitrievich Kudryavtsev (on his seventieth birthday)
    
    Uspekhi Mat. Nauk, 48:4(292) (1993),  242–244
83. Sergei Mikhailovich Nikol'skii (On occasion of eighty fifth birthday)
    
    Trudy Mat. Inst. Steklov., 201 (1992),  3–13
84. Ivan Aleksandrovich Kipriyanov (on his sixtieth birthday)
    
    Uspekhi Mat. Nauk, 39:2(236) (1984),  213–214
85. Lev Dmitrievich Kudryavtsev (on his sixtieth birthday)
    
    Uspekhi Mat. Nauk, 38:3(231) (1983),  205–210
86. Intgegral transformations of generalized functions: Yu. A. Brychkov and A. P. Prudnikov. 286 p. “Nauka”, Moscow, 1977. Book review
    
    Zh. Vychisl. Mat. Mat. Fiz., 18:4 (1978),  1063–1064
87. Владимир Михайлович Шалов (некролог)
    
    Differ. Uravn., 13:6 (1977),  1149–1153
88. The Fifth Soviet–Czechoslovak Meeting on Applications of Methods of Function Theory and Functional Analysis for Problems of Mathematical Physics
    
    Uspekhi Mat. Nauk, 32:3(195) (1977),  217–225
89. Vladimir Iosifovich Kondrashov (obituary)
    
    Uspekhi Mat. Nauk, 27:2(164) (1972),  149–155
90. Methods of Mathematical Physics, Vol. 2. Partial Differential Equations. Book Review
    
    Zh. Vychisl. Mat. Mat. Fiz., 3:2 (1963),  411–412