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Weak boundedness for the commutator of $n$-dimensional rough Hardy operator on homogeneous Herz spaces and central Morrey spaces

In this paper, we study the boundedness of the commutator $H_\Omega^b$ formed by the rough Hardy operator $H_\Omega$ and a locally integrable function $b$ from homogeneous Herz spaces to homogeneous weak Herz spaces. In addition, the weak boundedness of $H_\Omega^b$ on central Morrey spaces is also...

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Bibliographic Details
Published in:Taehan Suhakhoe hoebo 2024, 61(4), , pp.1053-1066
Main Authors: Lei Ji, Mingquan Wei, Dunyan Yan
Format: Article
Language:English
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Summary:In this paper, we study the boundedness of the commutator $H_\Omega^b$ formed by the rough Hardy operator $H_\Omega$ and a locally integrable function $b$ from homogeneous Herz spaces to homogeneous weak Herz spaces. In addition, the weak boundedness of $H_\Omega^b$ on central Morrey spaces is also established. KCI Citation Count: 0
ISSN:1015-8634
2234-3016
DOI:10.4134/BKMS.b230608