Marcinkiewicz-Zygmund Inequalities for Polynomials in Bergman and Hardy Spaces

被引：2

作者：

Groechenig, Karlheinz ^{[1
]}

Ortega-Cerda, Joaquim ^{[2
]}

机构：

[1] Univ Vienna, Fac Math, Oskar Morgenstern Pl 1, A-1090 Vienna, Austria

[2] Univ Barcelona, Dept Matemat & Informat, Gran Via Corts Catalanes 585, Barcelona 08007, Spain

来源：

JOURNAL OF GEOMETRIC ANALYSIS | 2021年 / 31卷 / 07期

基金：

奥地利科学基金会;

关键词：

Marcinkiewicz– Zygmund inequalities; Bergman space; Hardy space; Reproducing kernel; INTERPOLATION; DENSITY; SETS;

D O I：

10.1007/s12220-020-00599-5

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We study the relationship between sampling sequences in infinite dimensional Hilbert spaces of analytic functions and Marcinkiewicz-Zygmund inequalities in subspaces of polynomials. We focus on the study of the Hardy space and the Bergman space in one variable because they provide two settings with a strikingly different behavior.

引用

页码：7595 / 7619

页数：25

共 27 条

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