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.
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页码：7595 / 7619
页数：25
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