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Volume 30, Issue 2
Weighted Lipschitz Estimate for Commutator of Bochner-Riesz Operators on Weighted Morrey Spaces

L. Shu & S. Zhang

Anal. Theory Appl., 30 (2014), pp. 151-163.

Published online: 2014-06

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  • 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.

  • AMS Subject Headings

42B25

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COPYRIGHT: © Global Science Press

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@Article{ATA-30-151, author = {}, title = {Weighted Lipschitz Estimate for Commutator of Bochner-Riesz Operators on Weighted Morrey Spaces}, journal = {Analysis in Theory and Applications}, year = {2014}, volume = {30}, number = {2}, pages = {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.

}, issn = {1573-8175}, doi = {https://doi.org/10.4208/ata.2014.v30.n2.2}, url = {http://global-sci.org/intro/article_detail/ata/4481.html} }
TY - JOUR T1 - Weighted Lipschitz Estimate for Commutator of Bochner-Riesz Operators on Weighted Morrey Spaces JO - Analysis in Theory and Applications VL - 2 SP - 151 EP - 163 PY - 2014 DA - 2014/06 SN - 30 DO - http://doi.org/10.4208/ata.2014.v30.n2.2 UR - https://global-sci.org/intro/article_detail/ata/4481.html KW - Bochner-Riesz operator, weighted Morrey space, Lipschitz function. AB -

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.

L. Shu & S. Zhang. (1970). Weighted Lipschitz Estimate for Commutator of Bochner-Riesz Operators on Weighted Morrey Spaces. Analysis in Theory and Applications. 30 (2). 151-163. doi:10.4208/ata.2014.v30.n2.2
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