On Hardy spaces on worm domains

Alessandro Monguzzi

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The quasihyperbolic metric, growth, and John domains.

Langmeyer, Navah (1998)

Annales Academiae Scientiarum Fennicae. 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...

On distinguished representative domains

Stefan Bergman (1977)

Annales Polonici Mathematici

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Exhaustions of John domains.

Väisälä, Jussi (1994)

Annales Academiae Scientiarum Fennicae. Series A I. Mathematica

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Bergman completeness of complete circular domains

M. Jarnicki, P. Pflug (1989)

Annales Polonici Mathematici

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The symmetrized polydisc cannot be exhausted by domains biholomorphic to convex domains

Nikolai Nikolov (2006)

Annales Polonici Mathematici

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We prove that the symmetrized polydisc cannot be exhausted by domains biholomorphic to convex domains.

On Bergman completeness of pseudoconvex Reinhardt domains

Włodzimierz Zwonek (1999)

Annales de la Faculté des sciences de Toulouse : Mathématiques

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A note on Costara's paper

Armen Edigarian (2004)

Annales Polonici Mathematici

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We show that the symmetrized bidisc 𝔾₂ = {(λ₁+λ₂,λ₁λ₂):|λ₁|,|λ₂| < 1} ⊂ ℂ² cannot be exhausted by domains biholomorphic to convex domains.

Hardy and Rellich type inequalities with remainders

Ramil Nasibullin (2022)

Czechoslovak Mathematical Journal

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Hardy and Rellich type inequalities with an additional term are proved for compactly supported smooth functions on open subsets of the Euclidean space. We obtain one-dimensional Hardy type inequalities and their multidimensional analogues in convex domains with the finite inradius. We use Bessel functions and the Lamb constant. The statements proved are a generalization for the case of arbitrary $p\geq 2$ of the corresponding inequality proved by F. G. Avkhadiev, K.-J. Wirths (2011)...

Bounce trajectories in plane tubular domains

Roberto Peirone (1989)

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

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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.

Duality theorems for Hardy and Bergman spaces on convex domains of finite type in $ℂ^{n}$

Steven G. Krantz, Song-Ying Li (1995)

Annales de l'institut Fourier

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We study Hardy, Bergman, Bloch, and BMO spaces on convex domains of finite type in $n$ -dimensional complex space. Duals of these spaces are computed. The essential features of complex domains of finite type, that make these theorems possible, are isolated.

How to prove Fefferman's theorem without use of differential geometry

Ewa Ligocka (1981)

Annales Polonici Mathematici

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Bounce trajectories in plane tubular domains

Roberto Peirone (1989)

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

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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.

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.....................................................

On Decomposition Theorems for Hardy Spaces on Domains in ... and Applications.

Steven G. Krantz, Song-Ying Li (1995)

The journal of Fourier analysis and applications [[Elektronische Ressource]]

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