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Reverse convolution inequalities for Lebedev–Skalskaya transforms

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Veröffentlicht/Copyright: 20. April 2022

Abstract

In this paper, reverse convolution inequalities for Lebedev–Skalskaya transforms (LS-transforms) are obtained. Further, convolutions associated to the Fourier and LS-transforms are introduced and relations between them are obtained. Moreover, their estimates in Lebesgue spaces are obtained and then, corresponding to it, reverse convolution inequalities are also studied. Some applications are also discussed.

MSC 2010: 35A23; 44A20; 44A35

Communicated by Christopher D. Sogge


Award Identifier / Grant number: 09/085(0123)/2019-EMR-I

Funding statement: The third author is supported by Council of Scientific and Industrial Research (CSIR), India under file no. 09/085(0123)/2019-EMR-I.

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Received: 2021-12-08
Published Online: 2022-04-20
Published in Print: 2022-07-01

© 2022 Walter de Gruyter GmbH, Berlin/Boston

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