摘要
文中引进了区域上的Triebel-Lizorkin空间,以及原子和分子的概念,为了更好的理解这些空间,我们得到了这类Triebel-Lizorkin空间的原子分解和分子分解.这些结论是调和分析中函数空间分解理论的补充和完善.
The Triebel-Lizorkin spaces on domains, atoms and molecules are introduced. In order to understand the structure of these function spaces better, we obtain the atomic decomposition and molecular decomposition of the Triebel-Lizorkin spaces on domains. These results are the improvment of decompositions of functions in harmonic analysis.
出处
《应用数学》
CSCD
北大核心
2008年第4期826-834,共9页
Mathematica Applicata
基金
NNSF-china(10671115)