Abstract
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.
Original language | English |
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Pages (from-to) | 269-287 |
Number of pages | 19 |
Journal | Integral Equations and Operator Theory |
Volume | 36 |
Issue number | 3 |
DOIs | |
Publication status | Published - 2000 Mar |
Bibliographical note
Funding Information:Acknowledgement. The first author is partially supported by GARC(98) and KOSEF (98-0701-03-01-5). The second author is partially supported by KOSEF(981-0102-009-2). The third author wishes to acknowledge the financial support of the Korea Research Foundation made in the program year of 1997-1998.
ASJC Scopus subject areas
- Analysis
- Algebra and Number Theory