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A discrete characterization of Besov spaces

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Approximation Theory and its Applications

Abstract

The characterization of isotropic Besov spaces B ap,q (Id) for a>d/p in terms of progressive differences of a function on dyadic points is obtained. Moreover, for\(\underline a = (a_1 ,...a_d )\) with ai>1/p, an analogous characterization of anisotropic Besov spaces\(B_{p,q}^{\underline a } (I^d )\) is presented.

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Authors and Affiliations

  1. Mathematical Institute of Polish Academy of Sciences, ul. Abrahama 18, 81-825, Sopot, Poland

    Anna Kamont

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  1. Anna Kamont
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This work was supported by KBN grant 2 P301 019 06.

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Kamont, A. A discrete characterization of Besov spaces. Approx. Theory & its Appl. 13, 63–77 (1997). https://doi.org/10.1007/BF02836261

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  • DOI: https://doi.org/10.1007/BF02836261

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