Gleason's problem for harmonic mixed norm and Bloch spaces in convex domains

DOI10.1002/MANA.200310353zbMath1094.31002OpenAlexW2129670786MaRDI QIDQ5469053

Zhangjian Hu

Publication date: 16 May 2006

Published in: Mathematische Nachrichten (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/mana.200310353

zbMATH Keywords

Gleason's problemBloch type spacemixed norm space

Mathematics Subject Classification ID

Normal functions of one complex variable, normal families (30D45) Linear operators on function spaces (general) (47B38) Other spaces of holomorphic functions of several complex variables (e.g., bounded mean oscillation (BMOA), vanishing mean oscillation (VMOA)) (32A37) Harmonic, subharmonic, superharmonic functions on other spaces (31C05)

Related Items (7)

Solvability of the Gleason problem on a class of bounded pseudoconvex domains ⋮ The mixed norm spaces of polyharmonic functions ⋮ Gleason's problem on Fock-Sobolev spaces ⋮ Schur's test, Bergman-type operators and Gleason's problem on radial-angular mixed spaces ⋮ Gleason's problem in infinite dimension ⋮ Weighted harmonic Bloch spaces on the ball ⋮ \(\mathcal{N}(p,q,s)\)-type spaces in the unit ball of \(\mathbb{C}^n\). IV: Atomic decomposition, Gleason's problem and distance problems

Cites Work

• The gleason problem in bergman–sobolev spaces
• Boundary Behavior of Holomorphic Functions of Several Complex Variables. (MN-11)

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