Some estimates for commutators of Calderón-Zygmund operators on the weighted Morrey spaces

Details Some estimates for commutators of Calderón-Zygmund operators on the weighted Morrey spaces Some estimates for commutators of Calderón-Zygmund operators on the weighted Morrey spaces

2010-10-13

arxiv.org/abs/1010.2637v2

Mathematics

Classical Analysis and ODEs

18 pages. arXiv admin note: text overlap with arXiv:1010.2638

Scientific paper

Let $T$ be a Calder\'on-Zygmund singular integral operator. In this paper, we
will show some weighted boundedness properties of commutator $[b,T]$ on the
weighted Morrey spaces $L^{p,\kappa}(w)$ under appropriate conditions on the
weight $w$, where the symbol $b$ belongs to weighted $BMO$ or Lipschitz space
or weighted Lipschitz space.

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