Theory and Applications of Differentiable Functions of Several Variables: Collection of Papers. XI, Volume 11

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Sergei Mikhailovich Nikol'skii, Sergeĭ Mikhaĭlovich Nikolʹskiĭ
American Mathematical Soc., 1988 - Mathematics - 289 pages
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Contents

On Hormanders theorem on Fourier multipliers
1
Imbedding of Sobolev spaces on domains with the splitting flexible cone condition
13
Linear summation methods for fourier series and fractional difference operators
31
On sharp constants in inequalities for the norms of Intermediate derivatives on a finite interval II
39
On improvement of extension operators with the help of approximation operators with preservation of boundary values
51
An approximate method of conformal mapping of multiply connected polygons onto canonical domains
57
An asymptotically fast aproximate method of fin finding a solution of the difference laplace equation on mesh segments
71
On imbedding constructive and structural lipschitz spaces in symmetric spaces
93
On an analogue of the lizorkinnikolskiI inequality for an infinite interval
151
On the theory of fourier multipliers
161
Limiting cases of theorems on FLpmultipliers
177
Approximation by spherical functions
195
Inequalities of bernsteinnikolskiI type and approximation of generalized sobolev classes
205
A constructive description of traces of spaces of differentiable functions of several variables
221
On polynomial traces of functions in weighted spaces
253
Approximation of periodic functions of several variables by combinations of functions depending on fewer variables
263

Spaces of anisotropic potentials Applications
119
On the denseness of compactly supported functions in the a weighted space with a strongly degenerate weight
133
On convergence in the mean of fourierjacobi series with quasimonotone coefficients
145
Coercive properties of an elliptic equation with degeneration on the boundary
273
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