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Licensed Unlicensed Requires Authentication Published by De Gruyter April 14, 2021

Fourier transforms of convolution operators on orlicz spaces

  • Seyyed Mohammad Tabatabaie EMAIL logo and AliReza Bagheri Salec
From the journal Mathematica Slovaca

Abstract

In this paper, we study convolution operators on an Orlicz space LΦ(G) commuting with left translations, where Φ is an N-function and G is a locally compact group. We also present some basic properties of the Fourier transform of a Φ-convolution operator in the context of locally compact abelian groups.

  1. Communicated by Marcus Waurick

Acknowledgement

We would like to thank the referee for carefully reading our manuscript and for his/her very nice comments.

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Received: 2019-11-29
Accepted: 2020-07-14
Published Online: 2021-04-14
Published in Print: 2021-04-27

© 2021 Mathematical Institute Slovak Academy of Sciences

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