几类k阶Stein函数的L^p模估计

L^p-norm estimates of k-step Stein functions

提出了两类k(k∈N )阶Stein函数,在讨论其与k阶Littlewood-Paley函数的关系的基础上,建立了2≤p<∞时两类k阶Stein函数的Lp模估计.

Two kinds of kstep(k∈N*)Stein functions are put forward in the following article .On the basis of discussion about the relation between it and kstep Littlewood-Paley functions,Lpnorm estimates of two kinds kstep Stein functions are constructed when 2≤p<∞.