On Volterra composition operators from Bergman-type space to Bloch-type space
Czechoslovak Mathematical Journal (2011)
- Volume: 61, Issue: 4, page 993-1005
- ISSN: 0011-4642
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topJiang, Zhi Jie. "On Volterra composition operators from Bergman-type space to Bloch-type space." Czechoslovak Mathematical Journal 61.4 (2011): 993-1005. <http://eudml.org/doc/197171>.
@article{Jiang2011,
abstract = {Let $\varphi $ be an analytic self-mapping of $\mathbb \{D\}$ and $g$ an analytic function on $\mathbb \{D\}$. In this paper we characterize the bounded and compact Volterra composition operators from the Bergman-type space to the Bloch-type space. We also obtain an asymptotical expression of the essential norm of these operators in terms of the symbols $g$ and $\varphi $.},
author = {Jiang, Zhi Jie},
journal = {Czechoslovak Mathematical Journal},
keywords = {Bergman-type space; Volterra composition operator; Bloch-type space; little Bloch-type space; essential norm; Bergman-type space; Volterra composition operator; Bloch-type space; little Bloch-type space; essential norm},
language = {eng},
number = {4},
pages = {993-1005},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {On Volterra composition operators from Bergman-type space to Bloch-type space},
url = {http://eudml.org/doc/197171},
volume = {61},
year = {2011},
}
TY - JOUR
AU - Jiang, Zhi Jie
TI - On Volterra composition operators from Bergman-type space to Bloch-type space
JO - Czechoslovak Mathematical Journal
PY - 2011
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 61
IS - 4
SP - 993
EP - 1005
AB - Let $\varphi $ be an analytic self-mapping of $\mathbb {D}$ and $g$ an analytic function on $\mathbb {D}$. In this paper we characterize the bounded and compact Volterra composition operators from the Bergman-type space to the Bloch-type space. We also obtain an asymptotical expression of the essential norm of these operators in terms of the symbols $g$ and $\varphi $.
LA - eng
KW - Bergman-type space; Volterra composition operator; Bloch-type space; little Bloch-type space; essential norm; Bergman-type space; Volterra composition operator; Bloch-type space; little Bloch-type space; essential norm
UR - http://eudml.org/doc/197171
ER -
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