The essential norm of a composition operator on Bloch spaces

被引：86

作者：

Montes-Rodríguez, A ^{[1
]}

机构：

[1] Univ Sevilla, E-41080 Seville, Spain

来源：

PACIFIC JOURNAL OF MATHEMATICS | 1999年 / 188卷 / 02期

关键词：

D O I：

10.2140/pjm.1999.188.339

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We express the essential norm of a composition operator on the Bloch space and the little Bloch space as the asymptotic upper bound of a quantity involving the inducing map and the Pick-Schwarz Lemma. As a consequence, we obtain a new proof of a recently obtained characterization of the compact composition operators on Bloch spaces.

引用

页码：339 / 351

页数：13