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里兹算子和双曲群的 Lp 边界表示

IF 1.7 2区 数学 Q1 MATHEMATICS
Journal of Functional Analysis Pub Date : 2024-09-02 DOI:10.1016/j.jfa.2024.110650
Adrien Boyer , Jean-Martin Paoli
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引用次数: 0

摘要

我们研究了双曲群的-边界表示。我们证明，只有当且仅当相应的里兹算子是注入的时候，这些表示才是不可还原的。
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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Riesz operators and Lp-boundary representations for hyperbolic groups

We investigate Lp-boundary representations of hyperbolic groups. We prove that such representations are irreducible if and only if the corresponding Riesz operators are injective.

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来源期刊
Journal of Functional Analysis
Journal of Functional Analysis 数学-数学
CiteScore
3.20
自引率
5.90%
发文量
271
审稿时长
7.5 months
期刊介绍： The Journal of Functional Analysis presents original research papers in all scientific disciplines in which modern functional analysis plays a basic role. Articles by scientists in a variety of interdisciplinary areas are published. Research Areas Include: • Significant applications of functional analysis, including those to other areas of mathematics • New developments in functional analysis • Contributions to important problems in and challenges to functional analysis
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