On Volterra composition operators from Bergman-type space to Bloch-type space
Czechoslovak Mathematical Journal, Tome 61 (2011) no. 4, pp. 993-1005.
Voir la notice de l'article dans Czech Digital Mathematics Library
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
Mots-clés : Bergman-type space; Volterra composition operator; Bloch-type space; little Bloch-type space; essential norm
Mots-clés : 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 = {https://geodesic-test.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 - https://geodesic-test.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 https://geodesic-test.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. https://geodesic-test.mathdoc.fr/articles/10.1007/s10587-011-0042-x/
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