Weighted Norm Inequalities for Marcinkiewicz Integrals with Non-Smooth Kernels on Spaces of Homogeneous Type
Year: 2022
Author: Hung Viet Le
Analysis in Theory and Applications, Vol. 38 (2022), Iss. 2 : pp. 204–231
Abstract
In this article, we obtain some weighted estimates for Marcinkiewicz integrals with non-smooth kernels on spaces of homogeneous type. The weight $\omega$ considered here belongs to the Muckenhoupt’s class $A_∞.$ Moreover, weighted estimates for commutators of BMO functions and Marcinkiewicz integrals are also given.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.4208/ata.OA-2019-0011
Analysis in Theory and Applications, Vol. 38 (2022), Iss. 2 : pp. 204–231
Published online: 2022-01
AMS Subject Headings: Global Science Press
Copyright: COPYRIGHT: © Global Science Press
Pages: 28
Keywords: Commutators Muckenhoupt weights Marcinkiewicz integrals Singular integrals Sharp maximal functions BMO functions Young functions Luxemburg norm Spaces of homogeneous type.