The Hölder continuity of the Bergman projection and proper holomorphic mappings
Ewa Ligocka (1984)
Studia Mathematica
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Displaying similar documents to “On boundary behaviour of Bergman kernel function for plane domains and their Cartesian products”
The Hölder continuity of the Bergman projection and proper holomorphic mappings
Real anlytic regularity of the Bergman and Szegö projections on decoupled domains.
So-Chin Chen (1993)
Mathematische Zeitschrift
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Remarks on the Bergman kernel function of a worm domain
Ewa Ligocka (1998)
Studia Mathematica
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We use a recent result of M. Christ to show that the Bergman kernel function of a worm domain cannot be -smoothly extended to the boundary.
Some applications of the Bergman kernel to geometrical theory of functions
I. Ramadanov (1983)
Banach Center Publications
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On the orthogonal projections onto spaces of pluriharmonic functions and duality
Ewa Ligocka (1986)
Studia Mathematica
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Completeness, Reinhardt domains and the method of complex geodesics in the theory of invariant functions
Włodzimierz Zwonek
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Our work is divided into five chapters. In Chapter I we introduce necessary notions and we present the most important facts that we shall use. We also present our main results. Chapter I covers the following topics: • holomorphically contractible families of functions and pseudometrics, their basic properties, product property, Lempert Theorem, notion of geodesic, problem of finding effective formulas for invariant functions and pseudometrics and geodesics, completeness...
Zeroes of the Bergman kernel of Hartogs domains
Miroslav Engliš (2000)
Commentationes Mathematicae Universitatis Carolinae
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We exhibit a class of bounded, strongly convex Hartogs domains with real-analytic boundary which are not Lu Qi-Keng, i.e. whose Bergman kernel function has a zero.
On Bergman completeness of pseudoconvex Reinhardt domains
Włodzimierz Zwonek (1999)
Annales de la Faculté des sciences de Toulouse : Mathématiques
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Regularity of the Bergman Projection on Domains with Transverse Symmetries.
David E. Barrett (1981)
Mathematische Annalen
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Biholomorphic invariants related to the Bergman functions
Maciej Skwarczyński
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CONTENTSPRELIMINARY REMARKS........................................................................................ 5 Introduction..................................................................................................... 5 Basic definitions, examples and facts............................................................... 8I. LU QI-KENQ DOMAINS........................................................................................... 13 Some properties of Lu Qi-keng domains.....................................................