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Abstract view

# Weighted norm inequalities for fractional integral operators with rough kernel

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.