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JOURNALS
// Trudy Matematicheskogo Instituta imeni V.A. Steklova
// Archive
1965, Volume 77
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Contents
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Investigations in the theory of differentiable functions of many variables and its applications
Collection of articles
Preface
3
Representation and embedding theorems for function spaces
$S^{(r)}_{p,\theta}B(R_n)$
and
$S^{(r)}_{p^{\ast},\theta}B$
(
$0\le x_j\le 2\pi$
;
$j=1,\dots,n$
)
T. I. Amanov
5
Continuation of certain classes of differentiable functions beyond the boundary of a region
O. V. Besov
35
Embedding theorems for certain function classes
Ya. S. Bugrov
45
Local lemmas for certain classes of differentiable functions
V. I. Burenkov
65
Certain properties of the spaces
$W_p^{(r)}(\Omega)$
and
$W_p^{(r,r)}(\Omega)$
for
$0<r<1$
V. I. Burenkov
72
Differentiability properties of solutions of boundary value problems for the Laplace and Poisson equations on a rectangle
E. A. Volkov
89
Differentiability properties of solutions of boundary value problems for the Laplace equation on a polygon
E. A. Volkov
113
Classification of differentiable functions on the basis of spaces with dominant mixed derivatives
P. I. Lizorkin, S. M. Nikol'skii
143
Some inequalities in the
$L_2$
metric for solutions of equations of elliptic type and for their derivatives near the boundary
A. S. Fokht
168
©
Steklov Math. Inst. of RAS
, 2025
