Multidimensional fourier transforms on an Amalgam type space

Elijah Liflyand

doi:10.32523/2077-9879-2019-10-4-63-74

Multidimensional fourier transforms on an Amalgam type space

Elijah Liflyand

Department of Mathematics

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

Abstract

Generalizing the known results on the Fourier transforms on an amalgam type space, we introduce a multidimensional analogue of such a space, a subspace of L1(Rn+): Integrability results for the Fourier transforms are obtained provided that certain derivatives of the transformed function are in that space. As an application, we obtain conditions for the integrability of multiple trigonometric series.

Original language	English
Pages (from-to)	63-74
Number of pages	12
Journal	Eurasian Mathematical Journal
Volume	10
Issue number	4
DOIs	https://doi.org/10.32523/2077-9879-2019-10-4-63-74
State	Published - 2019

Bibliographical note

Publisher Copyright:
© 2019 The L.N. Gumilyov Eurasian National University.

Keywords

Amalgam space
Bounded variation
Fourier transform
Integrability
Trigonometric series
Young inequality

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10.32523/2077-9879-2019-10-4-63-74

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KW - Trigonometric series

KW - Young inequality

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Multidimensional fourier transforms on an Amalgam type space

Abstract

Bibliographical note

Keywords

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