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# Weighted norm inequalities for fractional integral operators with rough kernel

Published:1998-02-01
Printed: Feb 1998
• Yong Ding
• Shanzhen Lu
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## Abstract

Given function $\Omega$ on ${\Bbb R^n}$, we define the fractional maximal operator and the fractional integral operator by  M_{\Omega,\alpha}\,f(x)=\sup_{r>0}\frac 1{r^{n-\alpha}} \int_{|\,y|1)\$, homogeneous of degree zero.
 MSC Classifications: 42B20 - Singular and oscillatory integrals (Calderon-Zygmund, etc.) 42B25 - Maximal functions, Littlewood-Paley theory