Boundary values of harmonic functions in mixed norm spaces and their atomic structure
Fulvio Ricci, Mitchell Taibleson (1983)
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
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Fulvio Ricci, Mitchell Taibleson (1983)
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
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Carme Cascante, Joaquin Ortega (1999)
Studia Mathematica
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We study the boundedness in of the projections onto spaces of functions with spectrum contained in horizontal strips. We obtain some results concerning convergence along nonisotropic regions of harmonic extensions of functions in with spectrum included in these horizontal strips.
Wolfgang Lusky (2000)
Acta Universitatis Carolinae. Mathematica et Physica
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Calixto Calderón (1971)
Studia Mathematica
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Arthur Michalak (1997)
Collectanea Mathematica
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O. Blasco (1987)
Studia Mathematica
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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...
D. García, M. Maestre, P. Rueda (2000)
Studia Mathematica
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We deal with weighted spaces and HV(U) of holomorphic functions defined on a balanced open subset U of a Banach space X. We give conditions on the weights to ensure that the weighted spaces of m-homogeneous polynomials constitute a Schauder decomposition for them. As an application, we study their reflexivity. We also study the existence of a predual. Several examples are provided.