Decay of Fourier transforms and generalized Besov spaces
Functional Analysis
2026-01-29 v2
Abstract
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 -admissible family of multipliers operators in terms of decay properties of Fourier transform.
Keywords
Cite
@article{arxiv.1907.10127,
title = {Decay of Fourier transforms and generalized Besov spaces},
author = {Thaís Jordão},
journal= {arXiv preprint arXiv:1907.10127},
year = {2026}
}
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