Characterizations for the genuine Calderón-Zygmund operators and commutators on generalized Orlicz-Morrey spaces-Reference-Cited by-同舟云学术

Characterizations for the genuine Calderón-Zygmund operators and commutators on generalized Orlicz-Morrey spaces

Published:2023-01-01 Issue:1 Volume:12 Page:
ISSN:2191-950X
Container-title:Advances in Nonlinear Analysis
language:en
Short-container-title:

Author:

Guliyev V. S.¹²³,Omarova Meriban N.³⁴,Ragusa Maria Alessandra²⁵

Affiliation:

1. Institute of Applied Mathematics, Baku State University , Baku , Azerbaijan

2. Peoples Friendship University of Russia (RUDN University), 6 Miklukho-Maklaya St , Moscow , 117198 , Russian Federation

3. Institute of Mathematics and Mechanics , Baku , Azerbaijan

4. Baku State University , Baku , Azerbaijan

5. Department of Mathematics and Computer Science, University of Catania , Catania , Italy

Abstract

Abstract In this article, we show continuity of commutators of Calderón-Zygmund operators

[ b , T ]

\left[b,T]

with BMO functions in generalized Orlicz-Morrey spaces

M Φ , φ ( R n )

{M}^{\Phi ,\varphi }\left({{\mathbb{R}}}^{n})

. We give necessary and sufficient conditions for the boundedness of the genuine Calderón-Zygmund operators

and for their commutators

[ b , T ]

\left[b,T]

on generalized Orlicz-Morrey spaces, respectively.

Publisher

Walter de Gruyter GmbH

Subject

Analysis

Link

https://www.degruyter.com/document/doi/10.1515/anona-2022-0307/pdf

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