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

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

Published online: 2014-06

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• Abstract

In thispaper, we will use a method of sharp maximal function approach toshow the boundedness of commutator $[b,T_{R}^{\delta}]$ byBochner-Riesz operators and the function $b$ on weighted Morreyspaces $L^{p,\kappa}(\omega)$ under appropriate conditions on the weight $\omega$, where $b$ belongs to Lipschitz space or weighted Lipschitz space.

• Keywords

Bochner-Riesz operator weighted Morrey space Lipschitz function

• AMS Subject Headings

42B25