Citation
Br. Choe et al., Gleason's problem for harmonic Bergman and Bloch functions on half-spaces, INTEG EQ OP, 36(3), 2000, pp. 269-287
Citations number
11
Categorie Soggetti
Mathematics
Journal title
INTEGRAL EQUATIONS AND OPERATOR THEORY
ISSN journal
0378620X
→ ACNP
Volume
36
Issue
3
Year of publication
2000
Pages
269 - 287
Database
ISI
SICI code
0378-620X(200003)36:3<269:GPFHBA>2.0.ZU;2-C
Abstract
On the setting of the half-space Rn-1 x R+, we investigate Gleason's proble
m for harmonic Bergman and Bloch functions. We prove that Gleason's problem
for the harmonic L-P-Bergman space is solvable if and only if p > n. We al
so prove that Gleason's problem for the harmonic (little) Bloch space is so
lvable.