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JOURNALS
// Trudy Matematicheskogo Instituta imeni V.A. Steklova
// Archive
1972, Volume 117
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General information
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Contents
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Investigations in the theory of differentiable functions of many variables and its applications. Part IV
The behavior of differentiable functions on a nonsmooth surface
O. V. Besov
3
The traces on a nonsmooth surface of classes of differentiable functions
O. V. Besov
11
Estimates of moduli of smoothness of functions on domains, and imbedding theorems
O. V. Besov
22
Properties of solutions of differential equations of higher order in terms of weight classes
Ya. S. Bugrov
47
The approximation of functions in the space
$C^{r}(\Omega )$
by functions of compact support, for an arbitrary open set
$\Omega $
V. I. Burenkov
62
Boundaries of subdomains, Hölder weight classes and solutions in these classes of the Poisson equation
E. A. Volkov
75
Weighted error estimates for the mesh method of solving the Laplace and Poisson equations
E. A. Volkov
100
An imbedding theorem for spaces of functions whose mixed derivatives satisfy a multiple integral Hölder condition
A. D. Dzhabrailov
113
Families of spaces of functions whose mixed derivatives satisfy a multiple integral Hölder condition
A. D. Dzhabrailov
139
Asymptotic distribution of eigenvalues and eigenfunctions of a certain class of singular elliptic operators
I. A. Kipriyanov
159
Polynomial traces and moduli of smoothness of functions of several variables
L. D. Kudryavtsev
180
Operators connected with fractional differentiation, and classes of differentiable functions
P. I. Lizorkin
212
The behavior at infinity of differentiable functions in weight classes
Yu. S. Nikol'skii
244
The study of certain classes of functions by means of “angular”' approximation
M. K. Potapov
256
The representation of functions defined by a certain class of hypoelliptic operators
S. V. Uspenskii
292
Integral estimates of generalized derivatives of solutions of second order elliptic equations in the
$L_{p}$
metric and certain imbedding theorems connected with them.
A. S. Fokht
300
Unbounded solutions of degenerate elliptic equations
G. N. Yakovlev
312
The first boundary value problem for quasilinear second order elliptic equations
G. N. Yakovlev
321
©
Steklov Math. Inst. of RAS
, 2025
