Variable Herz–Morrey estimates for rough fractional Hausdorff operator-Reference-Cited by-同舟云学术

Variable Herz–Morrey estimates for rough fractional Hausdorff operator

Published:2024-03-12 Issue:1 Volume:2024 Page:
ISSN:1029-242X
Container-title:Journal of Inequalities and Applications
language:en
Short-container-title:J Inequal Appl

Author:

Hussain Amjad,Khan Ilyas,Mohamed Abdullah

Abstract

AbstractAs a first attempt, we obtain the boundedness of the rough fractional Hausdorff operator on variable exponent Herz-type spaces. The method used in this paper enables us to study the operator on some other function spaces with variable exponents.

Publisher

Springer Science and Business Media LLC

Link

https://link.springer.com/content/pdf/10.1186/s13660-024-03110-8.pdf

Reference39 articles.

1. Almeida, A., Drihem, D.: Maximal, potential and singular type operators on Herz spaces with variable exponents. J. Math. Anal. Appl. 394, 781–795 (2012)

2. Bandaliyev, R., Safarova, K.: On two-weight inequalities for Hausdorff operators of special kind in Lebesgue spaces. Hacet. J. Math. Stat. 50, 1334–1346 (2021)

3. Burenkov, V., Liflyand, E.: Hausdorff operators on Morrey-type spaces. Kyoto J. Math. 60, 93–106 (2020)

4. Capone, C., Cruz-Uribe, D., Fiorenza, A.: The fractional maximal operator and fractional integrals on variable $L^{p}(\mathbb{R})$ spaces. Rev. Mat. Iberoam. 23, 743–770 (2007)

5. Chen, J., Fan, D., Li, J.: Hausdorff operators on function spaces. Chin. Ann. Math. 33B, 537–556 (2012)

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. BMO estimates for commutators of the rough fractional Hausdorff operator on grand-variable-Herz-Morrey spaces;AIMS Mathematics;2024

3. Some new characterizations of boundedness of commutators of $p$-adic maximal-type functions on $p$-adic Morrey spaces in terms of Lipschitz spaces;AIMS Mathematics;2024