Variable λ -Central Morrey Space Estimates for the Fractional Hardy Operators and Commutators

Author:

Hussain Amjad1ORCID,Asim Muhammad1,Jarad Fahd23ORCID

Affiliation:

1. Department of Mathematics, Quaid-I-Azam University 45320, Islamabad 44000, Pakistan

2. Department of Mathematics, Çankaya University, 06790 Etimesgut, Ankara, Turkey

3. Department of Medical Research, China Medical University Hospital, China Medical University, Taichung, Taiwan

Abstract

This paper aims to show that the fractional Hardy operator and its adjoint operator are bounded on central Morrey space with variable exponent. Similar results for their commutators are obtained when the symbol functions belong to λ -central bounded mean oscillation ( λ -central BMO) space with variable exponent.

Funder

National Research Program for Universities

Publisher

Hindawi Limited

Subject

General Mathematics

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3. On Sobolev theorem for higher commutators of fractional integrals in grand variable Herz spaces;Communications in Nonlinear Science and Numerical Simulation;2023-11

4. Boundedness of commutators of rough Hardy operators on grand variable Herz spaces;Forum Mathematicum;2023-10-27

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