Fourier transforms on weighted amalgam-type spaces

Elijah Liflyand

doi:10.1007/s10958-021-05547-4

Fourier transforms on weighted amalgam-type spaces

Elijah Liflyand

Department of Mathematics

Research output: Contribution to journal › Article › peer-review

Abstract

We introduce weighted amalgam-type spaces and analyze their relations with some known spaces. Integrability results for the Fourier transform of a function with the derivative from one of those spaces are proved. The obtained results are applied to the integrability of trigonometric series with the sequence of coefficients of bounded variation.

Original language	English
Pages (from-to)	290-302
Number of pages	13
Journal	Journal of Mathematical Sciences (United States)
Volume	258
Issue number	3
DOIs	https://doi.org/10.1007/s10958-021-05547-4
State	Published - Oct 2021

Bibliographical note

Publisher Copyright:
© 2021, Springer Science+Business Media, LLC, part of Springer Nature.

Keywords

Fourier transform
Weighted amalgam-type space
Young inequality
bounded variation
embedding
integrability

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10.1007/s10958-021-05547-4

Cite this

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KW - Young inequality

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Fourier transforms on weighted amalgam-type spaces

Abstract

Bibliographical note

Keywords

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