Compact composition operators on the Nevanlinna class

被引：10

作者：

Choa, JS ^{[1
]}

Kim, HO ^{[1
]}

机构：

[1] KOREA ADV INST SCI & TECHNOL, DEPT MATH, YUSUNG GU, TAEJON 305701, SOUTH KOREA

来源：

PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY | 1997年 / 125卷 / 01期

关键词：

compact composition operator; Nevanlinna counting function; Carleson measure;

D O I：

10.1090/S0002-9939-97-03534-X

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Iq this paper we prove that the composition operator induced by a holomorphic self-map of the unit disc is compact on the Nevanlinna class if and only if it is compact on the Hardy space H-2.

引用

页码：145 / 151

页数：7

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