On the domains of existence for plurisubharmonic functions
Urban Cegrell (1983)
Banach Center Publications
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Displaying similar documents to “The Serre problem with Reinhardt fibers”
On the domains of existence for plurisubharmonic functions
On Bergman completeness of pseudoconvex Reinhardt domains
Włodzimierz Zwonek (1999)
Annales de la Faculté des sciences de Toulouse : Mathématiques
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The holomorphic automorphism groups of twisted Fock-Bargmann-Hartogs domains
Hyeseon Kim, Atsushi Yamamori (2018)
Czechoslovak Mathematical Journal
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We consider a certain class of unbounded nonhyperbolic Reinhardt domains which is called the twisted Fock-Bargmann-Hartogs domains. By showing Cartan's linearity theorem for our unbounded nonhyperbolic domains, we give a complete description of the automorphism groups of twisted Fock-Bargmann-Hartogs domains.
The generalized three circle- and other convexity theorems with application to the construction of envelopes of holomorphy
H. J. Borchers (1977)
Annales de l'I.H.P. Physique théorique
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Counterexamples to the Gleason problem
Ulf Backlund, Anders Fällström (1998)
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
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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...
On D*-extension property of the Hartogs domains.
Do Duc Thai, Pascal J. Thomas (2001)
Publicacions Matemàtiques
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A complex analytic space is said to have the D*-extension property if and only if any holomorphic map from the punctured disk to the given space extends to a holomorphic map from the whole disk to the same space. A Hartogs domain H over the base X (a complex space) is a subset of X x C where all the fibers over X are disks centered at the origin, possibly of infinite radius. Denote by φ the function giving the logarithm of the reciprocal of the radius of the fibers, so that, when X is...
Inner Carathéodory completeness of Reinhardt domains
Włodzimierz Zwonek (2001)
Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni
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We give a description of bounded pseudoconvex Reinhardt domains, which are complete for the Carathéodory inner distance.