Displaying similar documents to “Traces of functions in Bergman weighted spaces on tubular domains”

Traces of functions in Bergman weighted spaces on tubular domains

Umberto Sampieri (1985)

Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti

Similarity:

Si dà una caratterizzazione completa per tracce di funzioni olomorfe a quadrato sommabile per particolari misure su domini tubolari.

The holomorphic automorphism groups of twisted Fock-Bargmann-Hartogs domains

Hyeseon Kim, Atsushi Yamamori (2018)

Czechoslovak Mathematical Journal

Similarity:

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.

Bergman completeness of Zalcman type domains

Piotr Jucha (2004)

Studia Mathematica

Similarity:

We give an equivalent condition for Bergman completeness of Zalcman type domains. This also solves a problem stated by Pflug.

Completeness, Reinhardt domains and the method of complex geodesics in the theory of invariant functions

Włodzimierz Zwonek

Similarity:

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...

Hölder continuity of proper holomorphic mappings

François Berteloot (1991)

Studia Mathematica

Similarity:

We prove the Hölder continuity for proper holomorphic mappings onto certain piecewise smooth pseudoconvex domains with "good" plurisubharmonic peak functions at each point of their boundaries. We directly obtain a quite precise estimate for the exponent from an attraction property for analytic disks. Moreover, this way does not require any consideration of infinitesimal metric.

Weighted generalization of the Ramadanov's theorem and further considerations

Zbigniew Pasternak-Winiarski, Paweł Wójcicki (2018)

Czechoslovak Mathematical Journal

Similarity:

We study the limit behavior of weighted Bergman kernels on a sequence of domains in a complex space ℂ N , and show that under some conditions on domains and weights, weighed Bergman kernels converge uniformly on compact sets. Then we give a weighted generalization of the theorem given by M. Skwarczyński (1980), highlighting some special property of the domains, on which the weighted Bergman kernels converge uniformly. Moreover, we show that convergence of weighted Bergman kernels implies...

Proper holomorphic mappings vs. peak points and Shilov boundary

Łukasz Kosiński, Włodzimierz Zwonek (2013)

Annales Polonici Mathematici

Similarity:

We present a result on the existence of some kind of peak functions for ℂ-convex domains and for the symmetrized polydisc. Then we apply the latter result to show the equivariance of the set of peak points for A(D) under proper holomorphic mappings. Additionally, we present a description of the set of peak points in the class of bounded pseudoconvex Reinhardt domains.