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/