Families of analytic discs in with boundaries on a prescribed submanifold
C. Denson Hill, Geraldine Taiani (1978)
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
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C. Denson Hill, Geraldine Taiani (1978)
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
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Joël Merker (2002)
Annales de l’institut Fourier
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In the present paper, we associate the techniques of the Lewy-Pinchuk reflection principle with the Behnke-Sommer continuity principle. Extending a so-called to a parameterized congruence of Segre varieties, we are led to studying the envelope of holomorphy of a certain domain covered by a smooth Levi-flat “hat”. In our main theorem, we show that every -smooth CR diffeomorphism between two globally minimal real analytic hypersurfaces in () is real analytic at every point of ...
François Trèves (1969)
Bulletin de la Société Mathématique de France
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N. Aronszajn (1975-1976)
Séminaire Équations aux dérivées partielles (Polytechnique)
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Alexander Nagel, Jean-Pierre Rosay (1991)
Annales de l'institut Fourier
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We study sets in the boundary of a domain in , on which a holomorphic function has maximum modulus. In particular we show that in a real analytic strictly pseudoconvex boundary, maximum modulus sets of maximum dimension are real analytic. Maximum modulus sets are related to , which are sets along which appropriate collections of holomorphic and antiholomorphic functions agree.
Hans Lewy (1976)
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
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