θ型奇异积分算子在加权Morrey空间中的有界性

Boundedness of θ-type Calderón-Zygmund Singular Integral Operators in Weighted Morrey Space

设θ(t)是连续模,T是带有θ型Calderón-Zygmund核的奇异积分算子。若w Ap,1<p<$,利用外推原理和空间分解理论,我们得到了T在加权Morrey空间上的有界性,即T是Lp,κ(w)到Lp,κ(w)有界的。

Let θ（t） be a modulus of continuity.Suppose T is a singular integral operator with θ-type Calderón-Zygmund kernel.If w Ap,1p$,by using the extrapolation theory and decomposition of space,we obtain that the operator T is bounded in weighted Morrey space.That is,T is bounded from Lp,,κ（w） to Lp,κ（w）.