On some commutator theorems for fractional integral operators on the weighted Morrey spaces

Details On some commutator theorems for fractional integral operators on the weighted Morrey spaces On some commutator theorems for fractional integral operators on the weighted Morrey spaces

2010-10-13

arxiv.org/abs/1010.2638v1

Mathematics

Classical Analysis and ODEs

25 pages

Scientific paper

Let $0<\alphapaper, we will show some weighted boundedness properties of commutator
$[b,I_\alpha]$ 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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