Hardy-type inequalities for a class of iterated operators and their application to Morrey-type spaces-Reference-Cited by-同舟云学术

Hardy-type inequalities for a class of iterated operators and their application to Morrey-type spaces

Published:2024-01-01 Issue:1 Volume:22 Page:
ISSN:2391-5455
Container-title:Open Mathematics
language:en
Short-container-title:

Author:

Kalybay Aigerim¹²

Affiliation:

1. Department of Natural Sciences and Mathematics, KIMEP University, Abay Avenue 4 , Almaty 050010 , Kazakhstan

2. Institute of Mathematics and Mathematical Modeling , Pushkin Street 125 , Almaty 050010 , Kazakhstan

Abstract

Abstract In this study, we discuss new Hardy-type inequalities for operators involving iteration and provide explicit characterizations of these inequalities. As an application of our results, we consider the problem of the boundedness of the multidimensional Hardy operator from a Lebesgue space to a Morrey-type space.

Publisher

Walter de Gruyter GmbH

Link

https://www.degruyter.com/document/doi/10.1515/math-2024-0046/pdf

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