On V. I Smirnov domains.
Jones, Peter W., Smirnov, Stanislav K. (1999)
Annales Academiae Scientiarum Fennicae. Mathematica
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Jones, Peter W., Smirnov, Stanislav K. (1999)
Annales Academiae Scientiarum Fennicae. Mathematica
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L. A. Caffarelli, N. M. Rivière (1976)
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
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Carroll, Tom (2002)
Annales Academiae Scientiarum Fennicae. Mathematica
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Zoltan Balogh, Alexander Volberg (1996)
Revista Matemática Iberoamericana
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Rainer Wittmann (1985)
Mathematische Zeitschrift
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Leonhard Frerick, Gerald Schmieder (2005)
Annales Polonici Mathematici
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We prove that the Carathéodory discs for doubly connected domains in the complex plane are connected.
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.
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.
Shiying Zhao (1994)
Studia Mathematica
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The following results concerning boundary behavior of subharmonic functions in the unit ball of are generalized to nontangential accessible domains in the sense of Jerison and Kenig [7]: (i) The classical theorem of Littlewood on the radial limits. (ii) Ziomek’s theorem on the -nontangential limits. (iii) The localized version of the above two results and nontangential limits of Green potentials under a certain nontangential condition.
Stefan Bergman (1977)
Annales Polonici Mathematici
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McCarthy, John, Papadopoulos, Athanase (1996)
Annales Academiae Scientiarum Fennicae. Series A I. Mathematica
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Väisälä, Jussi (1994)
Annales Academiae Scientiarum Fennicae. Series A I. Mathematica
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Wen Sheng Wang (1995)
Revista Matemática Iberoamericana
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In any C domain, there is nonzero harmonic function C continuous up to the boundary such that the function and its gradient on the boundary vanish on a set of positive measure.