ESSENTIAL NORM OF THE DIFFERENCES OF COMPOSITION OPERATORS ON THE BLOCH SPACE

被引：11

作者：

Shi, Yecheng ^{[1
]}

Li, Songxiao ^{[2
]}

机构：

[1] Macau Univ Sci & Technol, Fac Informat Technol, Ave Wai Long, Taipa, Macau, Peoples R China

[2] Macau Univ Sci & Technol, Inst Syst Engn, Ave Wai Long, Taipa, Macau, Peoples R China

来源：

MATHEMATICAL INEQUALITIES & APPLICATIONS | 2017年 / 20卷 / 02期

关键词：

Bloch space; difference; composition operator; COMPACT COMPOSITION OPERATORS;

D O I：

10.7153/mia-20-37

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We provide some estimates for the essential norm of the differences of composition operators C-phi - C-psi acting on the Bloch space by using pseudo-hyperbolic distance, Mobius transformation and phi(n) - psi(n)

引用

页码：543 / 555

页数：13

共 15 条

[1] [Anonymous], 2007, Comput. Meth. Funct. Th., DOI DOI 10.1007/BF03321648
[2] [Anonymous], 1996, THESIS
[3] [Anonymous], 2007, MATH SURVEYS MONOGR
[4] COMPOSITION OPERATORS ISOLATED IN THE UNIFORM OPERATOR TOPOLOGY
BERKSON, E
[J]. PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 1981, 81 (02) : 230 - 232
[5] Cowen C., 1995, Composition operators on spaces of analytic functions
[6] Hosokawa T, 2007, J OPERAT THEOR, V57, P229
[7] Differences of generalized composition operators on the Bloch space
Li, Songxiao
[J]. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2012, 394 (02) : 706 - 711
[8] Essential norm of the difference of weighted composition operators
Lindstrom, Mikael
Woff, Elke
[J]. MONATSHEFTE FUR MATHEMATIK, 2008, 153 (02): : 133 - 143
[9] COMPACT COMPOSITION OPERATORS ON THE BLOCH SPACE
MADIGAN, K
MATHESON, A
[J]. TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 1995, 347 (07) : 2679 - 2687
[10] The essential norm of a composition operator on Bloch spaces
Montes-Rodríguez, A
[J]. PACIFIC JOURNAL OF MATHEMATICS, 1999, 188 (02) : 339 - 351

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