Inspired by the work of Engliš, we study the asymptotic behavior of the weighted Bergman kernel together with an application to the Lu Qi-Keng conjecture. Some comparison results between the weighted and the classical Bergman kernel are also obtained.
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-sm174-2-1,
author = {Bo-Yong Chen},
title = {Weighted Bergman kernel: asymptotic behavior, applications and comparison results},
journal = {Studia Mathematica},
volume = {173},
year = {2006},
pages = {111-130},
zbl = {1116.32002},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-sm174-2-1}
}
Bo-Yong Chen. Weighted Bergman kernel: asymptotic behavior, applications and comparison results. Studia Mathematica, Tome 173 (2006) pp. 111-130. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-sm174-2-1/