Bloch type spaces on the unit ball of a Hilbert space
Czechoslovak Mathematical Journal, Tome 69 (2019) no. 3, pp. 695-711
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We initiate the study of Bloch type spaces on the unit ball of a Hilbert space. As applications, the Hardy-Littlewood theorem in infinite-dimensional Hilbert spaces and characterizations of some holomorphic function spaces related to the Bloch type space are presented.
DOI :
10.21136/CMJ.2018.0495-17
Classification :
32A18, 46E15
Keywords: Bloch type space; Lipschitz space; Hardy-Littlewood theorem; Hilbert space
Keywords: Bloch type space; Lipschitz space; Hardy-Littlewood theorem; Hilbert space
@article{10_21136_CMJ_2018_0495_17,
author = {Xu, Zhenghua},
title = {Bloch type spaces on the unit ball of a {Hilbert} space},
journal = {Czechoslovak Mathematical Journal},
pages = {695--711},
publisher = {mathdoc},
volume = {69},
number = {3},
year = {2019},
doi = {10.21136/CMJ.2018.0495-17},
mrnumber = {3989275},
zbl = {07088813},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.21136/CMJ.2018.0495-17/}
}
TY - JOUR AU - Xu, Zhenghua TI - Bloch type spaces on the unit ball of a Hilbert space JO - Czechoslovak Mathematical Journal PY - 2019 SP - 695 EP - 711 VL - 69 IS - 3 PB - mathdoc UR - http://geodesic.mathdoc.fr/articles/10.21136/CMJ.2018.0495-17/ DO - 10.21136/CMJ.2018.0495-17 LA - en ID - 10_21136_CMJ_2018_0495_17 ER -
Xu, Zhenghua. Bloch type spaces on the unit ball of a Hilbert space. Czechoslovak Mathematical Journal, Tome 69 (2019) no. 3, pp. 695-711. doi: 10.21136/CMJ.2018.0495-17
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