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

页码：3 / 28

页数：26

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