On the setting of the half-space Rn-1 × R+, we investigate Gleason's problem for harmonic Bergman and Bloch functions. We prove that Gleason's problem for the harmonic Lp-Bergman space is solvable if and only if p > n. We also prove that Gleason's problem for the harmonic (little) Bloch space is solvable.
|Number of pages||19|
|Journal||Integral Equations and Operator Theory|
|Publication status||Published - 2000 Mar|
ASJC Scopus subject areas
- Algebra and Number Theory