A note on Sobolev spaces

被引：0

作者：

Zhikov V.V. ^{[1
]}

机构：

[1] Vladimir State Pedagogical University,

来源：

Journal of Mathematical Sciences | 2005年 / 129卷 / 1期

基金：

俄罗斯基础研究基金会;

关键词：

Crucial Role; Mathematical Physic; Smooth Function; Euclidean Space; Sobolev Space;

D O I：

10.1007/s10958-005-0296-7

中图分类号：

学科分类号：

摘要：

In the theory of averaging and other branches of mathematical physics, a crucial role is played by Sobolev spaces connected with a Borel measure defined in the Euclidean space ℝ d. These spaces are defined as closures of the sets of smooth functions in an appropriate norm. In this paper, we propose another (dual) definition of Sobolev spaces and give an example of using this definition. © 2005 Springer Science+Business Media, Inc.

引用

页码：3593 / 3595

页数：2