Generalized weighted Morrey spaces on RD-spaces

Jiahui Chou; Xue Li; Yan Tong; Haibo Lin

doi:10.1216/rmj.2020.50.1277

Abstract

We introduce the generalized weighted Morrey spaces and the generalized weighted weak Morrey spaces on RD-spaces. As applications, the boundedness of the Hardy–Littlewood maximal operator and the Calderón–Zygmund operator is established.

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Jiahui Chou. Xue Li. Yan Tong. Haibo Lin. "Generalized weighted Morrey spaces on RD-spaces." Rocky Mountain J. Math. 50 (4) 1277 - 1293, August 2020. https://doi.org/10.1216/rmj.2020.50.1277

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Received: 16 July 2019; Revised: 2 February 2020; Accepted: 4 February 2020; Published: August 2020

First available in Project Euclid: 29 September 2020

zbMATH: 1444.42021

MathSciNet: MR4154807

Digital Object Identifier: 10.1216/rmj.2020.50.1277

Subjects:

Primary: 43A85

Secondary: 47B38

Keywords: Calderón–Zygmund operator , generalized weighted Morrey space , Hardy–Littlewood maximal operator , RD-space

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