Dominant Sets for Model Spaces in Several Variables

IF 0.6 4区数学 Q3 MATHEMATICS

Mathematical Notes Pub Date : 2024-04-22 DOI:10.1134/s0001434624010127

A. B. Aleksandrov, E. S. Dubtsov

引用次数: 0

Abstract

Let \(I\) be an inner function in the domain \(\mathcal{D}=B_{n_1}\times B_{n_2}\times \dots \times B_{n_k}\), where \(B_n\) is the open unit ball in \(\mathbb{C}^n\), \(n\ge 1\). We construct dominant sets for the space \(H^2 \ominus I H^2\), where \(H^2= H^2(\mathcal{D})\) is the standard Hardy space.

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多变量模型空间的主集

Abstract Let \(I\) be an inner function in the domain \(\mathcal{D}=B_{n_1}\times B_{n_2}\times \dots\times B_{n_k}\), where \(B_n\) is the open unit ball in \(\mathbb{C}^n\), \(n\ge 1\).我们为空间 \(H^2 \ominus I H^2\) 构造支配集，其中 \(H^2= H^2(\mathcal{D})\) 是标准哈代空间。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Mathematical Notes 数学-数学

CiteScore

0.90

自引率

16.70%

发文量

179

审稿时长

24 months

期刊介绍： Mathematical Notes is a journal that publishes research papers and review articles in modern algebra, geometry and number theory, functional analysis, logic, set and measure theory, topology, probability and stochastics, differential and noncommutative geometry, operator and group theory, asymptotic and approximation methods, mathematical finance, linear and nonlinear equations, ergodic and spectral theory, operator algebras, and other related theoretical fields. It also presents rigorous results in mathematical physics.