紧齐性空间上的调和分析──关于奇异积分

Harmonic Analysis on the Compact Homogeneous Spaces on the Singular Integrals

本文研究了紧致齐性空间上一类卷积型的奇异积分，并获得了相应的Ｈ＾Ｐ有界性的估计。

In this paper .we study the theory of convolution operators with a singular kernel. eachhaving its only singularities at a finite point. We proved mainly the Theorem 1. Suppose the kernel K (m ) satisfies the conditionswith AP independ of f and E. Also for each f∈ Lp(m ). exists in Lpnorm. The operator T so defined also satisfies the inetluality (1 ).