Erratum to "Effective formulas for invariant functions - case of elementary Reinhardt domains" (Ann. Polon. Math. 69 (1998), 175-196)
Peter Pflug, Włodzimierz Zwonek (1998)
Annales Polonici Mathematici
Similarity:
Peter Pflug, Włodzimierz Zwonek (1998)
Annales Polonici Mathematici
Similarity:
Stefan Bergman (1977)
Annales Polonici Mathematici
Similarity:
Armen Edigarian (2004)
Annales Polonici Mathematici
Similarity:
We show that the symmetrized bidisc 𝔾₂ = {(λ₁+λ₂,λ₁λ₂):|λ₁|,|λ₂| < 1} ⊂ ℂ² cannot be exhausted by domains biholomorphic to convex domains.
Nikolai Nikolov (2006)
Annales Polonici Mathematici
Similarity:
We prove that the symmetrized polydisc cannot be exhausted by domains biholomorphic to convex domains.
Väisälä, Jussi (1994)
Annales Academiae Scientiarum Fennicae. Series A I. Mathematica
Similarity:
Maciej Skwarczyński
Similarity:
CONTENTSPRELIMINARY REMARKS........................................................................................ 5 Introduction..................................................................................................... 5 Basic definitions, examples and facts............................................................... 8I. LU QI-KENQ DOMAINS........................................................................................... 13 Some properties of Lu Qi-keng domains.....................................................
Roberto Peirone (1989)
Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni
Similarity:
We state that in opportune tubular domains any two points are connected by a bounce trajectory and that there exist non-trivial periodic bounce trajectories.
Roberto Peirone (1989)
Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti
Similarity:
We state that in opportune tubular domains any two points are connected by a bounce trajectory and that there exist non-trivial periodic bounce trajectories.
McCarthy, John, Papadopoulos, Athanase (1996)
Annales Academiae Scientiarum Fennicae. Series A I. Mathematica
Similarity:
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...
Karol Borsuk (1972)
Colloquium Mathematicae
Similarity:
Ahmed Ayache, Hanen Monceur (2011)
Colloquium Mathematicae
Similarity:
We investigate the elasticity of atomic domains of the form ℜ = A + XB[X], where X is an indeterminate, A is a local domain that is not a field, and A ⊂ B is a minimal extension of integral domains. We provide the exact value of the elasticity of ℜ in all cases depending the position of the maximal ideals of B. Then we investigate when such domains are half-factorial domains.
Edgar Lee Stout (2009)
Annales Polonici Mathematici
Similarity:
We construct some envelopes of holomorphy that are not equivalent to domains in ℂⁿ.
Gregor Herbort (1992)
Mathematische Zeitschrift
Similarity:
Meerschaert, M.M., Scheffler, H.-P. (1996)
Journal of Applied Analysis
Similarity:
V. Barucci, D.E. Dobbs, M. Fontana (1986)
Manuscripta mathematica
Similarity:
Gregor Herbort (2013)
Annales Polonici Mathematici
Similarity:
We study the class of smooth bounded weakly pseudoconvex domains D ⊂ ℂⁿ whose boundary points are of finite type (in the sense of J. Kohn) and whose Levi form has at most one degenerate eigenvalue at each boundary point, and prove effective estimates on the invariant distance of Carathéodory. This completes the author's investigations on invariant differential metrics of Carathéodory, Bergman, and Kobayashi in the corank one situation and on invariant distances on pseudoconvex finite...
Klas Diederich, John Erik Fornaess (1978)
Manuscripta mathematica
Similarity:
Alessandro Monguzzi (2016)
Concrete Operators
Similarity:
In this review article we present the problem of studying Hardy spaces and the related Szeg˝o projection on worm domains. We review the importance of the Diederich–Fornæss worm domain as a smooth bounded pseudoconvex domain whose Bergman projection does not preserve Sobolev spaces of sufficiently high order and we highlight which difficulties arise in studying the same problem for the Szeg˝o projection. Finally, we announce and discuss the results we have obtained so far in the setting...
Włodzimierz Zwonek (2001)
Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni
Similarity:
We give a description of bounded pseudoconvex Reinhardt domains, which are complete for the Carathéodory inner distance.
Magdalena Gregorczyk, Leopold Koczan (2017)
Annales Universitatis Mariae Curie-Sklodowska, sectio A – Mathematica
Similarity:
In this article we take over methods for determination of Koebe set based on extremal sets for a given class of functions.