Journal ArticleDOI
Estimates of invariant metrics on pseudoconvex domains of dimension two
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This article is published in Mathematische Zeitschrift.The article was published on 1989-09-01. It has received 227 citations till now. The article focuses on the topics: Invariant (mathematics) & Equivalence of metrics.read more
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Estimates for the Bergman and Szegö kernels in $\mathbf{C}^2$
TL;DR: In this paper, the authors studied the Bergman and Szegd projection operators on pseudoconvex domains Q of finite type in C2 and obtained sharp mapping properties of these operators on functions spaces, such as LP, the nonisotropic Sobolev spaces, and the non-isotropic Lipschitz spaces, which are naturally attached to the geometry of the boundary.
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Gromov hyperbolicity and the Kobayashi metric on strictly pseudoconvex domains
Zoltán M. Balogh,Mario Bonk +1 more
TL;DR: In this article, the authors give an estimate for the distance function related to the Kobayashi metric on a bounded strictly pseudoconvex domain with C 2-smooth boundary.
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Hölder estimates on domains of complex dimension two and on three dimensional CR manifolds
Charles Fefferman,Joseph J. Kohn +1 more
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The Bergman metric on hyperconvex domains
TL;DR: In this article, it was shown that the Bergman metric on a bounded hyperconvex domain is always complete, and a counterexample demonstrates that the converse conclusion fails in general.
References
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Book
An introduction to complex analysis in several variables
TL;DR: In this article, the authors present an analysis of analytical functions of one complex variable and several complex variables in Commutative Banach Algebras with Stein Manifolds.
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Hypoelliptic differential operators and nilpotent groups
TL;DR: In this paper, the authors present sufficient condi t ions for hypoe l l l ip t i c i ty... this paper..,.. The authors present a free Lie-A-Lgebras analysis on the p roof of the T h eo rem.
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