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 language | English |
---|---|
Pages (from-to) | 365-381 |
Number of pages | 17 |
Journal | Journal of Mathematical Analysis and Applications |
Volume | 296 |
Issue number | 2 |
DOIs | |
Publication status | Published - 2004 Aug 15 |
Keywords
- Half-space
- Moment vanishing properties
- Weighted harmonic Bergman functions
ASJC Scopus subject areas
- Analysis
- Applied Mathematics