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Research Article | Open Access

Revisiting Taibleson's theorem

Humberto Rafeiro1, Joel E. Restrepo2( )
Department of Mathematical Sciences, United Arab Emirates University, UAE
Department of Mathematics, Nazarbayev University, Kazakhstan & Regional Mathematical Center, Southern Federal University, Russia
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Abstract

A new characterization of the weighted Taibleson's theorem for generalized Hölder spaces is given via a Hadamard-Liouville type operator (Djrbashian's generalized fractional operator).

Keywords

generalized Hölder spaceBari-Stechkin classmodulus of continuitygeneralized fractional operatorharmonic functionpoisson integral

References

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Electronic Research Archive
Volume 30 Issue 2,
February 2022
Pages 565-573
DOI: 10.3934/era.2022029

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Cite this article:
Rafeiro H, Restrepo JE. Revisiting Taibleson's theorem. Electronic Research Archive, 2022, 30(2): 565-573. https://doi.org/10.3934/era.2022029

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Received: 26 November 2021
Revised: 25 January 2022
Accepted: 26 January 2022
Published: 15 February 2022
©2022 the Author(s), licensee AIMS Press.

This is an open access article distributed under the terms of the Creative Commons Attribution License (http://creativecommons.org/licenses/by/4.0)