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/