Moment vanishing properties of harmonic Bergman functions

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1 Citation (Scopus)

Abstract

We show that Poisson integrals belonging to certain weighted harmonic Bergman spaces bδp on the upper half-space must have the moment vanishing properties. As an application, we show that b0p, p≥1, contains a dense subspace whose members have the horizontal moment vanishing properties. Also, we derive related weighted norm inequalities for Poisson integrals. As a consequence, we obtain a characterization for Poisson integrals of continuous functions with compact support in order to belong to bδp.

Original languageEnglish
Pages (from-to)365-381
Number of pages17
JournalJournal of Mathematical Analysis and Applications
Volume296
Issue number2
DOIs
Publication statusPublished - 2004 Aug 15

Bibliographical note

Funding Information:
✩ This research is supported in part by KOSEF(2000-1-10100-001-3) and the Research Grant of Kwangwoon University in 2003. * Corresponding author. E-mail addresses: cbr@korea.ac.kr (B.R. Choe), koohw@korea.ac.kr (H. Koo), hsyi@math.kwangwoon.ac.kr (H. Yi).

Keywords

  • Half-space
  • Moment vanishing properties
  • Weighted harmonic Bergman functions

ASJC Scopus subject areas

  • Analysis
  • Applied Mathematics

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