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1993, Volume 204  
| General information | Contents |


Investigations in the theory of differentiable functions of many variables and its applications. Part 16


Editor: S. M. Nikol'skii
Managing editor: E. F. Mishchenko


Abstract: The collection is dedicated to investigations in different modern directions of the theory of differentiable functions of several variables and its applications. Original results are presented in the embedding theory for various spaces of difterentiable functions, defined on open subsets of Euclidean space, on sphere, on polydisc; in the theory of approximation of functions. Estimates of norms of different integral operators in weighted spaces are obtained; conditions, providing stabilization of function to polynomial, are studied. Sufficient conditions for Fourier and pointwize multipliers are given. Unconditional bases in anisotropic spaces are constructed. Existence of entire solutions for quasilinear equations is proved, asymptotic formula for kernels of powers of resolvents for elliptic operators is obtained.

ISBN: 5-02-000325-5
UDC: 517.518

Full text: Contents

Citation: Investigations in the theory of differentiable functions of many variables and its applications. Part 16, Trudy Mat. Inst. Steklov., 204, ed. S. M. Nikol'skii, E. F. Mishchenko, Nauka, Moscow, 1993, 305 pp.
Citation in format AMSBIB:
\Bibitem{1}
\book Investigations in the theory of differentiable functions of many variables and its applications. Part~16
\serial Trudy Mat. Inst. Steklov.
\yr 1993
\vol 204
\publ Nauka
\publaddr Moscow
\ed S.~M.~Nikol'skii, E.~F.~Mishchenko
\totalpages 305
\mathnet{http://mi.mathnet.ru/book1093}

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    		Труды Математического института имени В. А. Стеклова Proceedings of the Steklov Institute of Mathematics
     
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