Weighted Lipschitz Estimate for Commutator of Bochner-Riesz Operators on Weighted Morrey Spaces
Year: 2014
Analysis in Theory and Applications, Vol. 30 (2014), Iss. 2 : pp. 151–163
Abstract
In this paper, we will use a method of sharp maximal function approach to show the boundedness of commutator $[b,T_{R}^{\delta}]$ by Bochner-Riesz operators and the function $b$ on weighted Morrey spaces $L^{p,\kappa}(\omega)$ under appropriate conditions on the weight $\omega$, where $b$ belongs to Lipschitz space or weighted Lipschitz space.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.4208/ata.2014.v30.n2.2
Analysis in Theory and Applications, Vol. 30 (2014), Iss. 2 : pp. 151–163
Published online: 2014-01
AMS Subject Headings: Global Science Press
Copyright: COPYRIGHT: © Global Science Press
Pages: 13
Keywords: Bochner-Riesz operator weighted Morrey space Lipschitz function.