The Log Term in the Bergman and Szegő Kernels in Strictly Pseudoconvex Domains in $\mathbb C^2$
Documenta mathematica, Tome 23 (2018), pp. 1659-1676
In this paper, we consider bounded strictly pseudoconvex domains D⊂C2 with smooth boundary M=M3:=∂D, and the asymptotic expansion of the Bergman kernel on the diagonal
Classification :
32T15, 32V15
Mots-clés : Bergman and Szegő kernels, log term on boundary, Cartan curvature
Mots-clés : Bergman and Szegő kernels, log term on boundary, Cartan curvature
@article{10_4171_dm_657,
author = {Peter Ebenfelt},
title = {The {Log} {Term} in the {Bergman} and {Szeg\H{o}} {Kernels} in {Strictly} {Pseudoconvex} {Domains} in $\mathbb C^2$},
journal = {Documenta mathematica},
pages = {1659--1676},
year = {2018},
volume = {23},
doi = {10.4171/dm/657},
url = {http://geodesic.mathdoc.fr/articles/10.4171/dm/657/}
}
Peter Ebenfelt. The Log Term in the Bergman and Szegő Kernels in Strictly Pseudoconvex Domains in $\mathbb C^2$. Documenta mathematica, Tome 23 (2018), pp. 1659-1676. doi: 10.4171/dm/657
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