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Research Article | Open Access

Boundedness of Hardy operators on grand variable weighted Herz spaces

Babar Sultan1Mehvish Sultan2Qian-Qian Zhang3Nabil Mlaiki4( )
Department of Mathematics, Quaid-I-Azam University, Islamabad 45320, Pakistan
Department of Mathematics, Capital University of Science and Technology, Islamabad, Pakistan
College of Science, Northwest A&F University, Yangling, Shaanxi 712100, China
Department of Mathematics and Sciences, Prince Sultan University, Riyadh 11586, Saudi Arabia
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Abstract

In this paper, we will introduce the idea of grand variable weighted Herz spaces K ˙ q ( ) α ( ) , ϵ ) , θ ( τ ) in which α is also a variable. Our main purpose in this paper is to prove the boundedness of Hardy operators on grand variable weighted Herz spaces.

CLC number: 46E30, 47B38

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AIMS Mathematics
Pages 24515-24527

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Cite this article:
Sultan B, Sultan M, Zhang Q-Q, et al. Boundedness of Hardy operators on grand variable weighted Herz spaces. AIMS Mathematics, 2023, 8(10): 24515-24527. https://doi.org/10.3934/math.20231250

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Received: 06 July 2023
Revised: 08 August 2023
Accepted: 13 August 2023
Published: 15 October 2023
©2023 the Author(s), licensee AIMS Press.

This is an open access article distributed under the terms of the Creative Commons Attribution License (https://creativecommons.org/licenses/by/4.0)