Boundedness of commutators of rough Hardy operators on grand variable Herz spaces

Author:

Sultan Babar1ORCID,Sultan Mehvish2ORCID

Affiliation:

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

2. Department of Mathematics , Capital University Of Science and Technology , Islamabad , Pakistan

Abstract

Abstract The aim of this paper is to obtain the boundedness of commutators of Hardy operators with rough kernels on grand variable Herz spaces K ˙ q ( ) a ( ) , u , θ ( n ) {\dot{K}^{a(\,\cdot\,),u,\theta}_{q(\,\cdot\,)}(\mathbb{R}^{n})} by applying some properties of variable exponent. Moreover, by using the idea of grand variable Herz–Morrey spaces, we will prove the boundedness of Hardy operators on these spaces.

Publisher

Walter de Gruyter GmbH

Subject

Applied Mathematics,General Mathematics

Cited by 3 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献

1. Boundedness of commutators of variable Marcinkiewicz fractional integral operator in grand variable Herz spaces;Journal of Inequalities and Applications;2024-07-11

2. Boundedness of higher order commutators of Hardy operators on grand Herz-Morrey spaces;Bulletin des Sciences Mathématiques;2024-02

3. BMO estimate for the higher order commutators of Marcinkiewicz integral operator on grand Herz-Morrey spaces;Communications Faculty Of Science University of Ankara Series A1Mathematics and Statistics;2023-08-21

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