The Hölder duality for harmonic functions
Ewa Ligocka (1986)
Studia Mathematica
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Displaying similar documents to “Harmonic and analytic functions admitting a distribution boundary value”
The Hölder duality for harmonic functions
A uniqueness theorem for invariantly harmonic functions in the unit ball of C.
Joaquim Bruna (1992)
Publicacions Matemàtiques
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We prove a boundary uniqueness theorem for harmonic functions with respect to Bergman metric in the unit ball of C and give an application to a Runge type approximation theorem for such functions.
Boundary estimates for derivatives of harmonic functions
Frank Beatrous (1991)
Studia Mathematica
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Harmonic functions on classical rank one balls
Philippe Jaming (2001)
Bollettino dell'Unione Matematica Italiana
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In questo articolo studieremo le relazioni fra le funzioni armoniche nella palla iperbolica (sia essa reale, complessa o quaternionica), le funzione armoniche euclidee in questa palla, e le funzione pluriarmoniche sotto certe condizioni di crescita. In particolare, estenderemo al caso quaternionico risultati anteriori dell'autore (nel caso reale), e di A. Bonami, J. Bruna e S. Grellier (nel caso complesso).
Harmonic majorization and thinness
Essén, Matts
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Harmonic functions on the real hyperbolic ball I: Boundary values and atomic decomposition of Hardy spaces
Philippe Jaming (1999)
Colloquium Mathematicae
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We study harmonic functions for the Laplace-eltrami operator on the real hyperbolic space . We obtain necessary and sufficient conditions for these functions and their normal derivatives to have a boundary distribution. In doing so, we consider different behaviors of hyperbolic harmonic functions according to the parity of the dimension of the hyperbolic ball . We then study the Hardy spaces , 0