Decay of Fourier transforms and generalized Besov spaces

Decay of Fourier transforms and generalized Besov spaces

A characterization of the generalized Lipschitz and Besov spaces in terms of decay of Fourier transforms is given. In particular, necessary and sufficient conditions of Titchmarsh type are obtained. The method is based on two-sided estimate for the rate of approximation of a \(\beta\)-admissible fam...

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Veröffentlicht in:arXiv.org 2019-07
1. Verfasser: Jordão, Thaís
Format: Artikel
Sprache:eng
Schlagworte:
Decay
Fourier transforms
Function space
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Zusammenfassung:A characterization of the generalized Lipschitz and Besov spaces in terms of decay of Fourier transforms is given. In particular, necessary and sufficient conditions of Titchmarsh type are obtained. The method is based on two-sided estimate for the rate of approximation of a \(\beta\)-admissible family of multipliers operators in terms of decay properties of Fourier transform.
ISSN:2331-8422