On $L^p$-solutions of the Laplace equation and zeros of holomorphic functions

Joaquim Bruna; Joaquim Ortega-Cerdà

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Harmonic, Gibbs and Hausdorff measures on repellers for holomorphic maps, II

Feliks Przytycki, Mariusz Urbański, Anna Zdunik (1990)

Studia Mathematica

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Subsets of Hardy-class zero sets in the ball.

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.

Factorization of functions in weighted Bergman spaces

Charles Horowitz, Yehudah Schnaps (2000)

Annali della Scuola Normale Superiore di Pisa - Classe di Scienze

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A kernel associated with certain multiply connected domains and its applications to factorization theorems

R. Coifman, Guido Weiss (1966)

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On the law of iterated logarithm for Bloch functions

Feliks Przytycki (1989)

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Potentials in pluripotential theory

Magnus Carlehed (1999)

Annales de la Faculté des sciences de Toulouse : Mathématiques

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Maximal and area integral characterizations of Hardy-Soboley spaces in the unit ball of C.

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...

The range of Toeplitz operators on the ball.

Boris Korenblum, John E. McCarthy (1996)

Revista Matemática Iberoamericana

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Displaying similar documents to “On L p -solutions of the Laplace equation and zeros of holomorphic functions”

Displaying similar documents to “On $L^{p}$ -solutions of the Laplace equation and zeros of holomorphic functions”