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Zapiski Nauchnykh Seminarov LOMI, 1991, Volume 190, Pages 163–172 (Mi znsl4896)  
The Bergman kernel near the diagonal for domains close to ellipsoids

N. A. Shirokov
Full-text PDF (394 kB)
Abstract: Asymptotics of the Bergman kernel near the diagonal of a pseudoconvex domain with mild boundary restrictions is investigated. For strictly pseudoconvex domains with $C^4$-boundary the principal term has the Ch. Fefferman form, and the error estimate coincides with that of L. Boutet de Monvel.
English version:
Journal of Mathematical Sciences, 1994, Volume 71, Issue 1, Pages 2273–2280
DOI: https://doi.org/10.1007/BF02111299
Bibliographic databases:
Document Type: Article
UDC: 517.5
Language: Russian
Citation: N. A. Shirokov, “The Bergman kernel near the diagonal for domains close to ellipsoids”, Investigations on linear operators and function theory. Part 19, Zap. Nauchn. Sem. LOMI, 190, Nauka, St. Petersburg, 1991, 163–172; J. Math. Sci., 71:1 (1994), 2273–2280
Citation in format AMSBIB
\Bibitem{Shi91}
\by N.~A.~Shirokov
\paper The Bergman kernel near the diagonal for domains close to ellipsoids
\inbook Investigations on linear operators and function theory. Part~19
\serial Zap. Nauchn. Sem. LOMI
\yr 1991
\vol 190
\pages 163--172
\publ Nauka
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl4896}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1111918}
\zmath{https://zbmath.org/?q=an:0827.32024|0741.32015}
\transl
\jour J. Math. Sci.
\yr 1994
\vol 71
\issue 1
\pages 2273--2280
\crossref{https://doi.org/10.1007/BF02111299}
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