Calderón–Zygmund operators and their commutators on generalized weighted Orlicz

Calderón–Zygmund operators and their commutators on generalized weighted Orlicz–Morrey spaces

Published:2022-08-09 Issue:01 Volume:13 Page:
ISSN:1664-3607
Container-title:Bulletin of Mathematical Sciences
language:en
Short-container-title:Bull. Math. Sci.

Author:

Deringoz F.¹,Guliyev V. S.²³⁴^ORCID,Omarova M. N.⁴⁵,Ragusa M. A.³⁶^ORCID

Affiliation:

1. Department of Mathematics, Ahi Evran University, Kirsehir, Turkey

2. Institute of Applied Mathematics, Baku State University, Baku, AZ 1148, Azerbaijan

3. RUDN University, Moscow, 117198, Russian Federation

4. Institute of Mathematics and Mechanics of NAS of Azerbaijan, Baku, Azerbaijan

5. Baku State University, Baku, Azerbaijan

6. Dipartimento di Matematica e Informatica, Universitá di Catania, Catania, Italy

Abstract

In this paper, we obtain the necessary and sufficient conditions for the weak/strong boundedness of the Calderón–Zygmund operators in generalized weighted Orlicz–Morrey spaces. We also study the boundedness of the commutators of Calderón–Zygmund operators on these spaces. Moreover, the boundedness of Calderón–Zygmund operators in the vector-valued setting is given.

Funder

TUBITAK

RFBR

RUDN University RUDN University Strategic Academic Leadership Program.

P.R.I.N.

Publisher

World Scientific Pub Co Pte Ltd

Subject

General Mathematics

Link

https://www.worldscientific.com/doi/pdf/10.1142/S1664360722500047

Reference37 articles.