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A constructive characterization of the Sobolev and Besov classes

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Publication:1839413
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zbMath0512.46037MaRDI QIDQ1839413

Evsey Dyn'kin

Publication date: 1983

Published in: Proceedings of the Steklov Institute of Mathematics (Search for Journal in Brave)


zbMATH Keywords

Littlewood-Paley theorembest approximations by algebraic polynomialsconstructive description of Besov classes and Sobolev classespseudo analytic extensionsunperiodic functions


Mathematics Subject Classification ID

Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Best approximation, Chebyshev systems (41A50) Inequalities in approximation (Bernstein, Jackson, Nikol'ski?-type inequalities) (41A17) Approximation by polynomials (41A10)


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On the best linear approximation of holomorphic functions ⋮ Inequalities for rational functions ⋮ Constructive description of analytic Besov spaces in strictly pseudoconvex domains ⋮ Trace class conditions for functions of Schrödinger operators ⋮ Perturbations of continuum random Schrödinger operators with applications to Anderson orthogonality and the spectral shift function ⋮ The pseudoanalytic extension




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