Boundedness of Hardy operators on grand variable weighted Herz spaces-Reference-Cited by-同舟云学术

Boundedness of Hardy operators on grand variable weighted Herz spaces

Published:2023 Issue:10 Volume:8 Page:24515-24527
ISSN:2473-6988
Container-title:AIMS Mathematics
language:
Short-container-title:MATH

Author:

Sultan Babar¹,Sultan Mehvish²,Zhang Qian-Qian³,Mlaiki Nabil⁴

Affiliation:

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

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

3. College of Science, Northwest A&F University, Yangling, Shaanxi 712100, China

4. Department of Mathematics and Sciences, Prince Sultan University, Riyadh 11586, Saudi Arabia

Abstract

<abstract><p>In this paper, we will introduce the idea of grand variable weighted Herz spaces $ {{\dot{K} ^{\alpha(\cdot), \epsilon), \theta}_{ q(\cdot)}(\tau)}} $ in which $ \alpha $ is also a variable. Our main purpose in this paper is to prove the boundedness of Hardy operators on grand variable weighted Herz spaces.</p></abstract>

Publisher

American Institute of Mathematical Sciences (AIMS)

Subject

General Mathematics

Reference26 articles.

1. C. S. Herz, Lipschitz spaces and Bernstein's theorem on absolutely convergent Fourier transforms, J. Math. Mech., 18 (1968), 283–323.

2. S. Shi, Z. Fu, S. Lu, On the compactness of commutators of Hardy operators, Pac. J. Math., 1 (2020), 239–256. https://doi.org/10.2140/pjm.2020.307.239

3. Z. Fu, S. Lu, S. Shi, Two characterizations of central BMO space via the commutators of Hardy operators, Forum Math., 33 (2021), 505–529. https://doi.org/10.1515/forum-2020-0243

4. S. Lu, Z. Fu, F. Zhao, S. Shi, Hardy operators on Euclidean spaces and ralated topics, Singapore: World Scientific Publishing, 2022.

5. D. C. Uribe, A. Fiorenza, Variable Lebesgue space: Foundations and harmonic analysis, Basel: Birkhauser, 2013. https://doi.org/10.1007/978-3-0348-0548-3

Cited by 7 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. Estimate for the Intrinsic Square Function on $$p$$-Adic Herz Spaces with Variable Exponent;p-Adic Numbers, Ultrametric Analysis and Applications;2024-02-12

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

4. Grand Herz–Morrey Spaces with Variable Exponent;Mathematical Notes;2023-12

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