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Boundary behavior of Gleason’s problem in hyperbolic harmonic Bergman spaces

✍ Scribed by Guangbin Ren; Kähler Uwe

Book ID
111710405
Publisher
SP Science China Press
Year
2005
Tongue
English
Weight
181 KB
Volume
48
Category
Article
ISSN
1674-7283

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Gleason's problem for harmonic mixed nor
Gleason's problem for harmonic mixed norm and Bloch spaces in convex domains
✍ Zhangjian Hu 📂 Article 📅 2006 🏛 John Wiley and Sons 🌐 English ⚖ 210 KB

## 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