Decay of Fourier Transforms and Generalized Besov Spaces

Authors : Thaís JORDÃO

Pages : 20-35

Doi:10.33205/cma.646557

View : 11 | Download : 8

Publication Date : 2020-03-01

Article Type : Research Paper

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 $\beta$-admissible family of multipliers operators in terms of decay properties of Fourier transforms.
Keywords : generalized Besov spaces, Fourier transforms, Titchmarsh type theorem