Holomorphic Bloch spaces on the unit ball in $C^n$
Commentationes Mathematicae Universitatis Carolinae, Tome 50 (2009) no. 4, pp. 549-562
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This work is an introduction to anisotropic spaces of holomorphic functions, which have $\omega$-weight and are generalizations of Bloch spaces on a unit ball. We describe the holomorphic Bloch space in terms of the corresponding $L_\omega ^\infty $ space. We establish a description of $(A^p(\omega ))^*$ via the Bloch classes for all $0$.
This work is an introduction to anisotropic spaces of holomorphic functions, which have $\omega$-weight and are generalizations of Bloch spaces on a unit ball. We describe the holomorphic Bloch space in terms of the corresponding $L_\omega ^\infty $ space. We establish a description of $(A^p(\omega ))^*$ via the Bloch classes for all $0$.
Classification :
32A18, 46E15
Keywords: weighted Bloch spaces; projection; inverse mapping; dual space
Keywords: weighted Bloch spaces; projection; inverse mapping; dual space
@article{CMUC_2009_50_4_a4,
author = {Harutyunyan, A. V. and Lusky, W.},
title = {Holomorphic {Bloch} spaces on the unit ball in $C^n$},
journal = {Commentationes Mathematicae Universitatis Carolinae},
pages = {549--562},
year = {2009},
volume = {50},
number = {4},
mrnumber = {2583132},
zbl = {1212.32005},
language = {en},
url = {http://geodesic.mathdoc.fr/item/CMUC_2009_50_4_a4/}
}
Harutyunyan, A. V.; Lusky, W. Holomorphic Bloch spaces on the unit ball in $C^n$. Commentationes Mathematicae Universitatis Carolinae, Tome 50 (2009) no. 4, pp. 549-562. http://geodesic.mathdoc.fr/item/CMUC_2009_50_4_a4/