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

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.

12 pages

References in corpus (1)

• The boundedness of some operators with rough kernel on the weighted Morrey spaces