On Volterra composition operators from Bergman-type space to Bloch-type space
Czechoslovak Mathematical Journal, Tome 61 (2011) no. 4, pp. 993-1005
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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 $.
DOI :
10.1007/s10587-011-0042-x
Classification :
30H20, 30H30, 47B33, 47B37, 47B38
Keywords: Bergman-type space; Volterra composition operator; Bloch-type space; little Bloch-type space; essential norm
Keywords: Bergman-type space; Volterra composition operator; Bloch-type space; little Bloch-type space; essential norm
@article{10_1007_s10587_011_0042_x,
author = {Jiang, Zhi Jie},
title = {On {Volterra} composition operators from {Bergman-type} space to {Bloch-type} space},
journal = {Czechoslovak Mathematical Journal},
pages = {993--1005},
publisher = {mathdoc},
volume = {61},
number = {4},
year = {2011},
doi = {10.1007/s10587-011-0042-x},
mrnumber = {2886251},
zbl = {1245.47009},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.1007/s10587-011-0042-x/}
}
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 SP - 993 EP - 1005 VL - 61 IS - 4 PB - mathdoc UR - http://geodesic.mathdoc.fr/articles/10.1007/s10587-011-0042-x/ DO - 10.1007/s10587-011-0042-x LA - en ID - 10_1007_s10587_011_0042_x ER -
%0 Journal Article %A Jiang, Zhi Jie %T On Volterra composition operators from Bergman-type space to Bloch-type space %J Czechoslovak Mathematical Journal %D 2011 %P 993-1005 %V 61 %N 4 %I mathdoc %U http://geodesic.mathdoc.fr/articles/10.1007/s10587-011-0042-x/ %R 10.1007/s10587-011-0042-x %G en %F 10_1007_s10587_011_0042_x
Jiang, Zhi Jie. On Volterra composition operators from Bergman-type space to Bloch-type space. Czechoslovak Mathematical Journal, Tome 61 (2011) no. 4, pp. 993-1005. doi: 10.1007/s10587-011-0042-x
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