Harmonic, Gibbs and Hausdorff measures on repellers for holomorphic maps, II
Feliks Przytycki, Mariusz Urbański, Anna Zdunik (1990)
Studia Mathematica
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Feliks Przytycki, Mariusz Urbański, Anna Zdunik (1990)
Studia Mathematica
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Pascal J. Thomas (1990)
Publicacions Matemàtiques
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We consider the problem of whether the union of complex hyperplanes can be a subset of a zero variety for the Hardy classes of the ball. A sufficient condition is found, consisting in a strong geometric separatedness requirement, together with a quantitative requirement slightly stronger than the necessary condition for Nevanlinna class zero varieties.
Charles Horowitz, Yehudah Schnaps (2000)
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
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R. Coifman, Guido Weiss (1966)
Studia Mathematica
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Feliks Przytycki (1989)
Studia Mathematica
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Magnus Carlehed (1999)
Annales de la Faculté des sciences de Toulouse : Mathématiques
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Patrick Ahern, Joaquim Bruna (1988)
Revista Matemática Iberoamericana
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In this paper we deal with several characterizations of the Hardy-Sobolev spaces in the unit ball of C, that is, spaces of holomorphic functions in the ball whose derivatives up to a certain order belong to the classical Hardy spaces. Some of our characterizations are in terms of maximal functions, area functions or Littlewood-Paley functions involving only complex-tangential derivatives. A special case of our results is a characterization of H itself involving only complex-tangential...
Boris Korenblum, John E. McCarthy (1996)
Revista Matemática Iberoamericana
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