Il'in Valentin Petrovich

Publications in Math-Net.Ru

1. On a technique of finding exact imbedding theorems shown with the example of the anisotropic S. L. Sobolev spaces $W^{L_1,\dots,L_N}_{P_0,\dots,P_N}$ defined on the domains with power boundary and on effects arising in the domains
   
   Zap. Nauchn. Sem. POMI, 215 (1994),  137–145
2. On the influence of parameters determining anisotropic spaces of smooth functions on characteristics of the embedding theorems
   
   Zap. Nauchn. Sem. POMI, 201 (1992),  22–94
3. On imbedding theory for function spaces with power smoothness in domains
   
   Trudy Mat. Inst. Steklov., 187 (1989),  78–97
4. On imbedding theorems for spaces of differentiable functions in domains
   
   Trudy Mat. Inst. Steklov., 180 (1987),  122–124
5. Some questions associated with the formulation of embedding theorems in domains
   
   Trudy Mat. Inst. Steklov., 172 (1985),  155–172
6. The problem of automatic construction and investigation on a computer of difference schemes in analytic form
   
   Dokl. Akad. Nauk SSSR, 275:3 (1984),  528–532
7. On embedding theorems in the domains of the space
   
   Zap. Nauchn. Sem. LOMI, 124 (1983),  164–199
8. Existence and the optimal choice of the values of parameters in inequalities guaranteeing the validity of embedding theorems
   
   Zap. Nauchn. Sem. LOMI, 111 (1981),  63–87
9. Some embedding theorems of the functional spaces $W_{\bar p,\bar a,x}^\ell(G)$
   
   Zap. Nauchn. Sem. LOMI, 102 (1980),  27–41
10. Projection representation of functions by a difference
    
    Trudy Mat. Inst. Steklov., 150 (1979),  3–10
11. Approximation of functions from $B^\ell_{p,\theta}(G)$ by anisotropic averages
    
    Zap. Nauchn. Sem. LOMI, 80 (1978),  30–47
12. Some imbedding theorems for the function spaces – $\mathscr L_{r,p,\theta}^{\lambda,\varphi,b_s}(G)$
    
    Zap. Nauchn. Sem. LOMI, 70 (1977),  49–75
13. On an integral representation of functions
    
    Zap. Nauchn. Sem. LOMI, 47 (1974),  67–72
14. Die Funktionalräume $\mathcal L^{\lambda,a,b}_{r,p,\theta}(G)$
    
    Zap. Nauchn. Sem. LOMI, 30 (1972),  51–75
15. On some properties of functions of spaces $W^l _{p,a,x}(G)$
    
    Zap. Nauchn. Sem. LOMI, 23 (1971),  33–40
16. Integral representations for functions of the classes $L_p^l(G)$ and embedding theorems
    
    Zap. Nauchn. Sem. LOMI, 19 (1970),  95–155
17. Some integral non equalities and their applications to theorems of imbedding
    
    Zap. Nauchn. Sem. LOMI, 18 (1970),  191–216
18. On an integral inequality
    
    Mat. Zametki, 6:2 (1969),  139–148
19. An embedding theorem for a limiting exponent
    
    Mat. Zametki, 6:2 (1969),  129–138
20. Decomposition of the anisotropic space $W_p^{(l_1,\dots,l_n)}(\Omega)$ by means of a special projection operator
    
    Sibirsk. Mat. Zh., 10:1 (1969),  212–216
21. Natural extension of the class of regions in embedding theorems
    
    Mat. Sb. (N.S.), 75(117):4 (1968),  483–495
22. Conditions of validity of inequalities between $L_{p}$-norms of partial derivatives of functions of several variables
    
    Trudy Mat. Inst. Steklov., 96 (1968),  205–242
23. Certain remarks on the convergence of sequences of functions of polynomial type in the spaces $W_p^l(G)$
    
    Zap. Nauchn. Sem. LOMI, 11 (1968),  73–96
24. Integral representations of differentiable functions and their applications to questions of extension of functions of the $W_p^{(l)}(G)$-classes
    
    Sibirsk. Mat. Zh., 8:3 (1967),  573–586
25. On a class functions of several real variables
    
    Zap. Nauchn. Sem. LOMI, 5 (1967),  110–168
26. The $L_p$-estimates of a certain class of non-isotropically singular integrals
    
    Dokl. Akad. Nauk SSSR, 169:6 (1966),  1250–1253
27. On the splitting of difference parabolic and elliptic equations
    
    Sibirsk. Mat. Zh., 6:6 (1965),  1425–1428
28. On inequalities between norms of partial derivatives of functions of several variables
    
    Trudy Mat. Inst. Steklov., 84 (1965),  144–173
29. On some properties of classes of differentiable functions defined in a domain
    
    Trudy Mat. Inst. Steklov., 84 (1965),  93–143
30. Some inequalities between the norms of partial derivatives of functions of several variables
    
    Dokl. Akad. Nauk SSSR, 152:2 (1963),  262–265
31. On inequalities between norms of partial derivatives of functions of several variables
    
    Dokl. Akad. Nauk SSSR, 150:5 (1963),  975–977
32. Properties of certain classes of differentiable functions of several variables defined in an $n$-dimensional domain
    
    Trudy Mat. Inst. Steklov., 66 (1962),  227–363
33. Some properties of differentiable functions of several variables
    
    Trudy Mat. Inst. Steklov., 66 (1962),  205–226
34. Approximation of functions in the spaces $\widetilde{W}_p^{(l)}(D)$ and $W_p^{(l)}(D)$ by continuously differentiable functions
    
    Dokl. Akad. Nauk SSSR, 137:6 (1961),  1283–1286
35. Some properties of differentiable functions of many variables
    
    Dokl. Akad. Nauk SSSR, 136:3 (1961),  538–541
36. Some integral inequalities and their applications in the theory of differentiable functions of several variables
    
    Mat. Sb. (N.S.), 54(96):3 (1961),  331–380
37. Approximation of functions in the spaces $\widetilde W_p^{(l)}(D)$ and $W_p^{(l)}(D)$
    
    Trudy Mat. Inst. Steklov., 64 (1961),  61–78
38. Some inequalities for differentiable functions of several variables
    
    Dokl. Akad. Nauk SSSR, 135:4 (1960),  779–782
39. On the complete continuity of the imbedding operator for an unbounded domain
    
    Dokl. Akad. Nauk SSSR, 135:3 (1960),  517–519
40. On theorems of “imbedding”
    
    Trudy Mat. Inst. Steklov., 53 (1959),  359–386
41. On a theorem of G. H. Hardy and J. E. Littlewood
    
    Trudy Mat. Inst. Steklov., 53 (1959),  128–144
42. Some inequalities in function spaces and their application to the investigation of the convergence of variational processes
    
    Trudy Mat. Inst. Steklov., 53 (1959),  64–127
43. Estimate of error in the Ritz method for ordinary differential equations
    
    Trudy Mat. Inst. Steklov., 53 (1959),  43–63
44. Some functional inequalities of the imbedding theorem type
    
    Dokl. Akad. Nauk SSSR, 123:6 (1958),  967–970
45. On convergence of sequences of functions in certain functional spaces
    
    Uspekhi Mat. Nauk, 12:1(73) (1957),  192–195


46. Solomon Grigor'evich Mikhlin (on his eightieth birthday)
    
    Uspekhi Mat. Nauk, 43:4(262) (1988),  239–240
47. David Fomich Kharazov (obituary)
    
    Uspekhi Mat. Nauk, 30:6(186) (1975),  153–157
48. Preface
    
    Zap. Nauchn. Sem. LOMI, 48 (1974),  4
49. Preface
    
    Zap. Nauchn. Sem. LOMI, 5 (1967),  5
50. Поправки к статье “О некоторых свойствах дифференцируемых функций многих переменных” (ДАН, т. 136, № 3, 1961 г.)
    
    Dokl. Akad. Nauk SSSR, 138:6 (1961),  1254