Decay of Fourier Transforms and Generalized Besov Spaces

Yıl 2020, , 20 - 35, 01.03.2020

Thaís Jordão

https://doi.org/10.33205/cma.646557

Cited By: 3

Öz

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 transforms.

Anahtar Kelimeler

generalized Besov spaces, Fourier transforms, Titchmarsh type theorem

Kaynakça

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