Sampling in weighted Lp spaces of entire functions in Cn and estimates of the Bergman kernel

被引：71

作者：

Lindholm, N ^{[1
]}

机构：

[1] Chalmers Univ Technol, Dept Math, S-41296 Gothenburg, Sweden

[2] Univ Gothenburg, S-41296 Gothenburg, Sweden

来源：

JOURNAL OF FUNCTIONAL ANALYSIS | 2001年 / 182卷 / 02期

关键词：

Fock space; sampling; interpolation; Bargmann space; concentration operator; Bergman kernel; Toeplitz operator;

D O I：

10.1006/jfan.2000.3733

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The necessary density condition in C known for sampling and interpolation in the L-P space of entire functions with a subharmonic weight is extended to the case of a 2-homogeneous, plurisubharmonic weight function in C. The method is by estimating the eigenvalues of a certain Toeplitz concentration operator, using asymptotic estimates for the Bergman kernel of independent interest. (C) 2001 Academic Press.

引用

页码：390 / 426

页数：37

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