紧致齐性空间上的调和分析(Ⅱ)——Poisson非切向极大函数

HARMONIC ANALYSIS ON COMPACT HOMOGENEOUS SPACE(Ⅱ)——POISSON NON-TANGENTIAL MAXIMAL FUNCTIONS

设M为一连通的紧致齐性空间。引进M上的Poisson非切向极大函数,并讨论了M上Poisson积分的非切向收敛。

Let M be a connected and compact homogeneous space.It is known that Poisson's maximal function on M has been introduced by current authors.The maximal function theory and atomic theory of H^p(M)spaces is set up.