A CHARACTERISATION OF BERGMAN SPACES ON THE UNIT BALL OF Cn
Glasgow mathematical journal, Tome 51 (2009) no. 2, pp. 315-330
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We obtain a new characterisation for weighted Bergman spaces Apα on the unit ball n of Cn in terms of a double integral of the functions |f(z) − f(w)|/|z − w| and |f(z) − f(w)|/|1 − 〈 z, w〉|.
LI, SONGXIAO; WULAN, HASI; ZHAO, RUHAN; ZHU, KEHE. A CHARACTERISATION OF BERGMAN SPACES ON THE UNIT BALL OF Cn. Glasgow mathematical journal, Tome 51 (2009) no. 2, pp. 315-330. doi: 10.1017/S0017089509004996
@article{10_1017_S0017089509004996,
author = {LI, SONGXIAO and WULAN, HASI and ZHAO, RUHAN and ZHU, KEHE},
title = {A {CHARACTERISATION} {OF} {BERGMAN} {SPACES} {ON} {THE} {UNIT} {BALL} {OF} {Cn}},
journal = {Glasgow mathematical journal},
pages = {315--330},
year = {2009},
volume = {51},
number = {2},
doi = {10.1017/S0017089509004996},
url = {http://geodesic.mathdoc.fr/articles/10.1017/S0017089509004996/}
}
TY - JOUR AU - LI, SONGXIAO AU - WULAN, HASI AU - ZHAO, RUHAN AU - ZHU, KEHE TI - A CHARACTERISATION OF BERGMAN SPACES ON THE UNIT BALL OF Cn JO - Glasgow mathematical journal PY - 2009 SP - 315 EP - 330 VL - 51 IS - 2 UR - http://geodesic.mathdoc.fr/articles/10.1017/S0017089509004996/ DO - 10.1017/S0017089509004996 ID - 10_1017_S0017089509004996 ER -
%0 Journal Article %A LI, SONGXIAO %A WULAN, HASI %A ZHAO, RUHAN %A ZHU, KEHE %T A CHARACTERISATION OF BERGMAN SPACES ON THE UNIT BALL OF Cn %J Glasgow mathematical journal %D 2009 %P 315-330 %V 51 %N 2 %U http://geodesic.mathdoc.fr/articles/10.1017/S0017089509004996/ %R 10.1017/S0017089509004996 %F 10_1017_S0017089509004996
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