区域上Triebel-Lizorkin空间的原子分解与限制定理

ATOMIC DECOMPOSITION AND RESTRICTION THEOREMS OF TRIEBEL-LIZORKIN SPACES ON DOMAINS

本文在区域Ω( Rn,n≥1)上定义了某类在边界上消失的Triebel-Lizorkin空间 ,并给出了它的原子分解定理,对偶定理.同时证明了当区域 时。

In this paper, the intrinsic definitions of Triebel-Lizorkin spaces on any domain are given. The atomic decomposition theorems, the dual theorems, restrictions and extensions of those spaces are studied on some nonsmooth domains.