摘要
数值Sobolev空间已有较完善的理论,本文的目的在于推广其到向量值加权情形。首先通过讨论拟微分算子在向量值加权L^p空间L^p(l^q,w)的有界性,引入了向量值加权Sobolev空间,讨论了该空间的基本性质,得到了其加权嵌入定理等结论。
In this paper, some properties of the vector value-weighted Sobolev Spaces are discussed, and then the weight-embedded theorems in the spaces and other conclusions are obtained.
关键词
拟微分算子
加权
SOBOLEV空间
vector value-weighted Sobolev Spave
quasi-differential operator
A_p weight
