Revisiting Taibleson’s theorem

Humberto Rafeiro; Joel E. Restrepo

doi:10.3934/era.2022029

Revisiting Taibleson’s theorem

Humberto Rafeiro
, Joel E. Restrepo

Department of Mathematical Sciences

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

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).

Original language	English
Pages (from-to)	565-573
Number of pages	9
Journal	Electronic Research Archive
Volume	30
Issue number	2
DOIs	https://doi.org/10.3934/era.2022029
Publication status	Published - 2022

Keywords

Bari-Stechkin class
Generalized Hölder space
generalized fractional operator
harmonic function
modulus of continuity
poisson integral

ASJC Scopus subject areas

General Mathematics

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10.3934/era.2022029

Cite this

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title = "Revisiting Taibleson{\textquoteright}s theorem",

abstract = "A new characterization of the weighted Taibleson{\textquoteright}s theorem for generalized H{\"o}lder spaces is given via a Hadamard-Liouville type operator (Djrbashian{\textquoteright}s generalized fractional operator).",

keywords = "Bari-Stechkin class, Generalized H{\"o}lder space, generalized fractional operator, harmonic function, modulus of continuity, poisson integral",

author = "Humberto Rafeiro and Restrepo, \{Joel E.\}",

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AU - Rafeiro, Humberto

AU - Restrepo, Joel E.

N1 - Publisher Copyright: © 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)

PY - 2022

Y1 - 2022

N2 - 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).

AB - 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).

KW - Bari-Stechkin class

KW - Generalized Hölder space

KW - generalized fractional operator

KW - harmonic function

KW - modulus of continuity

KW - poisson integral

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DO - 10.3934/era.2022029

M3 - Article

AN - SCOPUS:85125382729

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VL - 30

SP - 565

EP - 573

JO - Electronic Research Archive

JF - Electronic Research Archive

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ER -

Revisiting Taibleson’s theorem

Abstract

Keywords

ASJC Scopus subject areas

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