We give a characterization of -domains of holomorphy with the help of the boundary behavior of the Bergman kernel and geometric properties of the boundary, respectively.
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-sm151-2-1,
author = {Peter Pflug and W\l odzimierz Zwonek},
title = {$L$^2$\_{h}$-domains of holomorphy and the Bergman kernel},
journal = {Studia Mathematica},
volume = {151},
year = {2002},
pages = {99-108},
zbl = {1013.32002},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-sm151-2-1}
}
Peter Pflug; Włodzimierz Zwonek. $L²_{h}$-domains of holomorphy and the Bergman kernel. Studia Mathematica, Tome 151 (2002) pp. 99-108. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-sm151-2-1/