Function spaces as Dirichlet spaces

被引：0
|
作者：
Jacob, N
Schilling, RL
机构：
[1] Univ Coll Swansea, Dept Math, Swansea SA2 8PP, W Glam, Wales
[2] Univ Marburg, FB Math 12, D-35032 Marburg, Germany
来源：
ZEITSCHRIFT FUR ANALYSIS UND IHRE ANWENDUNGEN | 2005年 / 24卷 / 01期
关键词：
Dirichlet space; anisotropic Sobolev space; Slobodeckij norm; negative definite function; Bernstein function;
D O I：
暂无
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
V. G. Maz'ya and J. Nagel found for certain classes of weighted Sobolev norms (defined using the Fourier transform) equivalent Slobodeckij-type difference representations. We extend these considerations to a wider class of anisotropic norms which arise in the theory of Markov processes. In particular we show that these Sobolev norms are equivalent to Dirichlet norms.
引用
收藏
页码：3 / 28
页数：26
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