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Weighted norm inequalities for fractional integral operators with rough kernel |
Canad. J. Math. 50(1998), 29-39
Published:1998-02-01
Printed: Feb 1998
Printed: Feb 1998
- Yong Ding
- Shanzhen Lu
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 |