Some estimates for commutators of fractional integral operators on weighted Morrey spaces

Abstract

Let $0<\alpha <n$ and $I_{\alpha }$ be the fractional integral operator. In this paper, we shall use a unified approach to show some boundedness properties of commutators $[b,I_{\alpha }]$ 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.

arXiv comment22 pages. arXiv admin note: substantial text overlap with arXiv:1010.2637

Cited by in corpus (3)

• Commutator Theorems for Fractional Integral Operators on Weighted Morrey Spaces
• Necessary and sufficient conditions for boundedness of commutators of the general fractional integral operators on weighted Morrey spaces
• Estimates for multilinear commutators of generalized fractional integral operators on weighted Morrey spaces