Essential norm of the difference of composition operators on Bloch space

Ke-Ben Yang; Ze-Hua Zhou

Czechoslovak Mathematical Journal (2010)

  • Volume: 60, Issue: 4, page 1139-1152
  • ISSN: 0011-4642

Abstract

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Let ϕ and ψ be holomorphic self-maps of the unit disk, and denote by C ϕ , C ψ the induced composition operators. This paper gives some simple estimates of the essential norm for the difference of composition operators C ϕ - C ψ from Bloch spaces to Bloch spaces in the unit disk. Compactness of the difference is also characterized.

How to cite

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Yang, Ke-Ben, and Zhou, Ze-Hua. "Essential norm of the difference of composition operators on Bloch space." Czechoslovak Mathematical Journal 60.4 (2010): 1139-1152. <http://eudml.org/doc/196687>.

@article{Yang2010,
abstract = {Let $\varphi $ and $\psi $ be holomorphic self-maps of the unit disk, and denote by $C_\varphi $, $C_\psi $ the induced composition operators. This paper gives some simple estimates of the essential norm for the difference of composition operators $C_\varphi -C_\psi $ from Bloch spaces to Bloch spaces in the unit disk. Compactness of the difference is also characterized.},
author = {Yang, Ke-Ben, Zhou, Ze-Hua},
journal = {Czechoslovak Mathematical Journal},
keywords = { Bloch space; composition operator; essential norm; difference; compactness; Bloch space; composition operator; essential norm; difference; compactness},
language = {eng},
number = {4},
pages = {1139-1152},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Essential norm of the difference of composition operators on Bloch space},
url = {http://eudml.org/doc/196687},
volume = {60},
year = {2010},
}

TY - JOUR
AU - Yang, Ke-Ben
AU - Zhou, Ze-Hua
TI - Essential norm of the difference of composition operators on Bloch space
JO - Czechoslovak Mathematical Journal
PY - 2010
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 60
IS - 4
SP - 1139
EP - 1152
AB - Let $\varphi $ and $\psi $ be holomorphic self-maps of the unit disk, and denote by $C_\varphi $, $C_\psi $ the induced composition operators. This paper gives some simple estimates of the essential norm for the difference of composition operators $C_\varphi -C_\psi $ from Bloch spaces to Bloch spaces in the unit disk. Compactness of the difference is also characterized.
LA - eng
KW - Bloch space; composition operator; essential norm; difference; compactness; Bloch space; composition operator; essential norm; difference; compactness
UR - http://eudml.org/doc/196687
ER -

References

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