Weighted Sobolev spaces on curves

被引：20

作者：

Alvarez, V

Pestana, D

Rodríguez, JM

Romera, E

机构：

[1] Univ Carlos III Madrid, Dept Matemat, Madrid 28911, Spain

[2] Fac Ciencias, Dept Anal Matemat, Malaga 29071, Spain

来源：

JOURNAL OF APPROXIMATION THEORY | 2002年 / 119卷 / 01期

关键词：

D O I：

10.1006/jath.2002.3709

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper we present a definition of weighted Sobolev spaces on curves and find general conditions under which the spaces are complete for non-closed compact curves. We also prove the density of the polynomials in these spaces and, finally, we find conditions under which the multiplication operator is bounded in the space of polynomials. (C) 2002 Elsevier Science (USA).

引用

页码：41 / 85

页数：45

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