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arXiv · 1203.1441

Boundedness of fractional integral operators with rough kernels on weighted Morrey spaces

Hua Wang
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Abstract

Let $M_{\Omega,\alpha}$ and $T_{\Omega,\alpha}$ be the fractional maximal and integral operators with rough kernels, where $0<\alpha<n$. In this paper, we shall study the continuity properties of $M_{\Omega,\alpha}$ and $T_{\Omega,\alpha}$ on the weighted Morrey spaces $L^{p,\kappa}(w)$. The boundedness of their commutators with BMO functions is also obtained.

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Hua Wang. 2012-03-07. Boundedness of fractional integral operators with rough kernels on weighted Morrey spaces. https://arxiv.org/abs/1203.1441

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