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 |
Fingerprint
Keywords
- Half-space
- Moment vanishing properties
- Weighted harmonic Bergman functions
ASJC Scopus subject areas
- Analysis
- Applied Mathematics
Cite this
Moment vanishing properties of harmonic Bergman functions. / Choe, Boo Rim; Koo, Hyung Woon; Yi, Heungsu.
In: Journal of Mathematical Analysis and Applications, Vol. 296, No. 2, 15.08.2004, p. 365-381.Research output: Contribution to journal › Article
}
TY - JOUR
T1 - Moment vanishing properties of harmonic Bergman functions
AU - Choe, Boo Rim
AU - Koo, Hyung Woon
AU - Yi, Heungsu
PY - 2004/8/15
Y1 - 2004/8/15
N2 - 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.
AB - 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.
KW - Half-space
KW - Moment vanishing properties
KW - Weighted harmonic Bergman functions
UR - http://www.scopus.com/inward/record.url?scp=3442893800&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=3442893800&partnerID=8YFLogxK
U2 - 10.1016/j.jmaa.2003.11.005
DO - 10.1016/j.jmaa.2003.11.005
M3 - Article
AN - SCOPUS:3442893800
VL - 296
SP - 365
EP - 381
JO - Journal of Mathematical Analysis and Applications
JF - Journal of Mathematical Analysis and Applications
SN - 0022-247X
IS - 2
ER -