积分算子f|→∫e^(ih(x,y))K(x-y)f(y)dy|x-y|<1带权不等式

A WEIGHTED NORM INEQUALITY FOR OPERATOR f|→∫e^(ih(x,y))K(x-y)f(y)dy|x-y|<1

研究了由奇异Radon-Penrose变换中引出的积分算子其中h(x,y)是实李普希兹函数.运用实调和分析工具,建立了其L^p有界性及带权有界性.

Following typical Integral operator is studied in this paper whare h(x,y) is real and satisfies the Lipschitz condition. By method of Real Harmonic Analysis, the L^(?)-boundedness of the operator and the A_(?)-Weight-norm inequality are proved.