Blaschke sequences and zero sets for Dirichlet spaces with superharmonic weights

被引：0

作者：

Bao, Guanlong ^{[1
]}

Mashreghi, Javad ^{[2
]}

Wang, Zipeng ^{[3
]}

Wulan, Hasi ^{[1
]}

机构：

[1] Shantou Univ, Dept Math, Shantou 515821, Guangdong, Peoples R China

[2] Univ Laval, Dept Math & Stat, 1045 Ave Med, Quebec City, PQ G1V 0A6, Canada

[3] Chongqing Univ, Coll Math & Stat, Chongqing 401331, Peoples R China

来源：

MATHEMATISCHE ZEITSCHRIFT | 2025年 / 309卷 / 03期

基金：

加拿大自然科学与工程研究理事会;

关键词：

Dirichlet space; Blaschke sequence; Zero set; Newtonian potential; Balayage; CARLESON MEASURE; THEOREM;

D O I：

10.1007/s00209-025-03687-w

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Using Newtonian potentials and balayages of positive Borel measures, we describe the family of superharmonically weighted Dirichlet spaces D omega\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\mathcal {D}_\omega $$\end{document} for which every Blaschke sequence is a zero set. We also investigate random zero sets and random Blaschke products in D omega\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\mathcal {D}_\omega $$\end{document} spaces.

引用

页数：30