H^p-theory for generalized M-harmonic functions in the unit ball

Patrick Ahern, Joaquim Bruna, Carme Cascante

Type: Article

Publication Date: 1996-01-01

Citations: 44

DOI: https://doi.org/10.1512/iumj.1996.45.1961

Abstract

In this paper we study the space of functions in the unit ball in C n annihilated by the differential operators ∆ α,β , α, β ∈ C, given byWe obtain growth estimates and several equivalent characterizations of those such functions having boundary values in H p (S n ), in terms of maximal and area functions.

Locations

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+	Singular Integrals and Differentiability Properties of Functions.	1971	Elias M. Stein
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+	Some new function spaces and their applications to Harmonic analysis	1985	Ronald R. Coifman Yves Meyer E. M. Stein
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+	The dirichlet problem for the bergman laplacian. I	1983	C. Robin Graham
+	A Maximal Function Characterization of H p on the Space of Homogeneous Type	1980	Akihito Uchiyama