Hardy approximation to Lp functions on subsets of the circle with 1≤p<∞

被引：38

作者：

Baratchart, L ^{[1
]}

Leblond, J ^{[1
]}

机构：

[1] INRIA, F-06902 Sophia Antipolis, France

来源：

CONSTRUCTIVE APPROXIMATION | 1998年 / 14卷 / 01期

关键词：

L-p analytic approximation; recovery of H-p functions; extremal problems in Hardy;

D O I：

10.1007/s003659900062

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We consider approximation of L-p functions by Hardy functions on subsets of the circle for 1 less than or equal to p < infinity. After some preliminaries on the possibility of such an approximation which are connected to recovery problems of the Carleman type, we prove existence and uniqueness of the solution to a generalized extremal problem involving norm constraints on the complementary subset.

引用

页码：41 / 56

页数：16

共 22 条

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Hardy approximation to Lp functions on subsets of the circle with 1≤p&lt;∞

Hardy approximation to Lp functions on subsets of the circle with 1≤p<∞