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

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

2012-03-07

arxiv.org/abs/1203.1441v1

Mathematics

Classical Analysis and ODEs

12 pages

Scientific paper

Let $M_{\Omega,\alpha}$ and $T_{\Omega,\alpha}$ be the fractional maximal and
integral operators with rough kernels, where $0<\alphashall 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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