Hp-theory for generalized M-harmonic functions in the unit ball

Patrick Ahern, Joaquim Bruna, Carme Cascante

Research output: Contribution to journalArticleResearchpeer-review

31 Citations (Scopus)

Abstract

In this paper we study the space of functions in the unit ball in Cnannihilated by the differential operators Δα,β, α, β, ∈ C, given by Δα,β= (1 - |z|2) {Σi,j(δi,j- ziz̄j) DiD̄j+ αR + βR̄ - αβ}. We obtain growth estimates and several equivalent characterizations of those such functions having boundary values in Hp(Sn), in terms of maximal and area functions.
Original languageEnglish
Pages (from-to)103-135
JournalIndiana University Mathematics Journal
Volume45
Issue number1
Publication statusPublished - 1 Mar 1996

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