Dominating sets and reverse Carleson measures on exponentially weighted Bergman spaces

被引：0

作者：

Tong, Cezhong ^{[1
]}

He, Hua ^{[1
]}

Li, Junfeng ^{[2
]}

Arroussi, Hicham ^{[3
]}

机构：

[1] Hebei Univ Technol, Inst Math, Tianjin, Peoples R China

[2] Tsinghua Univ, Dept Math Sci, Beijing, Peoples R China

[3] Univ Reading, Dept Math, Reading, Berks, England

来源：

COMPLEX VARIABLES AND ELLIPTIC EQUATIONS | 2023年 / 68卷 / 05期

关键词：

Weighted Bergman space; dominating sets; reverse Carleson measures; integrating derivatives; interpolation sequences; TOEPLITZ-OPERATORS; SAMPLING MEASURES; MEASURE THEOREM; INEQUALITIES;

D O I：

10.1080/17476933.2021.2018423

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We study the dominating sets and reverse Carleson measures on exponentially weighted Bergman spaces A(omega)(p) under a new metric. Then, we give some applications of reverse Carleson measure and a generalization of Theorem 1 in Luecking [Sampling measures for Bergman spaces on the unit disk. Math Ann. 2000;316:659-679].

引用

页码：821 / 845

页数：25

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