COMPOSITION OPERATORS AND GENERALIZED PRIMES

被引：1

作者：

Kouroupis, Athanasios ^{[1
]}

机构：

[1] Norwegian Univ Sci & Technol NTNU, Dept Math Sci, N-7491 Trondheim, Norway

来源：

PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY | 2023年 / 151卷 / 10期

关键词：

DIRICHLET SERIES; BEURLING PRIMES; BERGMAN SPACES; HILBERT-SPACE;

D O I：

10.1090/proc/16395

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We study composition operators on the Hardy space 7-12 of Dirich-let series with square summable coefficients. Our main result is a necessary condition, in terms of a Nevanlinna-type counting function, for a certain class of composition operators to be compact on 7-12. To do that we extend our no-tions to a Hardy space 7-12? of generalized Dirichlet series, induced in a natural way by a sequence of Beurling's primes.

引用

页码：4291 / 4305

页数：15

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