The Structure of Certain Spaces of Analytic Functions

被引：3
|
作者：
James E. Brennan
机构：
[1] University of Kentucky,Department of Mathematics
来源：
Computational Methods and Function Theory | 2008年 / 8卷 / 2期
关键词：
Rational approximation; analytic capacity; direct sum decomposition; 30E10; 41A10; 41A20; 30C85; 30H05;
D O I：
10.1007/BF03321709
中图分类号：
学科分类号：
摘要：
Let μ be a measure of compact support in the complex plane. In 1991 J. E. Thomson described completely the structure of Hp(μ), the closed subspace of Lp(μ) spanned by the polynomials, when 1 ≤ p < ∞. Here we discuss the extent to which Rp(μ), the closed subspace of Lp(μ) spanned by the rational functions having no poles on the support of μ, admits a similar description.
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页码：625 / 640
页数：15
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