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

共 14 条

[1] ANDERSON JM, 1974, J REINE ANGEW MATH, V270, P12
[2] COWEN CC, 1995, COMPOSITION OPERATOR
[3] Diestel J., 1984, SEQUENCES SERIES BAN
[4] FERNANDEZ JL, 1984, J LOND MATH SOC, V29, P94
[5] HARMAND P., 1993, M IDEALS BANACH SPAC, DOI DOI 10.1007/BFB0084355
[6] M-IDEALS OF COMPACT-OPERATORS
KALTON, NJ
[J]. ILLINOIS JOURNAL OF MATHEMATICS, 1993, 37 (01) : 147 - 169
[7] KALTON NJ, 1977, CLASSICAL BANACH SPA, V1
[8] COMPACT COMPOSITION OPERATORS ON THE BLOCH SPACE
MADIGAN, K
MATHESON, A
[J]. TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 1995, 347 (07) : 2679 - 2687
[9] Pelczynski A., 1960, Studia Math, V19, P209, DOI [10.4064/sm-19-2-209-228, DOI 10.4064/SM-19-2-209-228]
[10] BLOCH FUNCTIONS
POMMERENKE, C
[J]. JOURNAL OF THE LONDON MATHEMATICAL SOCIETY, 1970, 2 (OCT): : 689 - +

← 1 2 →