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The Bergman Spaces, The Bloch Space, and Gleason's Problem

✍ Scribed by Kehe Zhu

Book ID: 125691181
Publisher: American Mathematical Society
Year: 1988
Tongue: English
Weight: 980 KB
Volume: 309
Category: Article
ISSN: 0002-9947
DOI: 10.2307/2001168

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## Abstract Let Ω ⊂ **R**^__n__^ be a bounded convex domain with __C__ ^2^ boundary. Given 0 < __p, q__ ≤ ∞ and a normal weight function __φ__ (__r__ ), let __H~p,q,φ~__ be the harmonic mixed norm space on Ω. In this paper we prove that Gleason's problem (Ω, __a__ , __H~p,q,φ~__ ) is always solvab