Gleason's problem in weighted Bergman space on egg domains

DOI10.1007/BF02879040zbMath0912.32018arXivmath/9608201OpenAlexW1982492959MaRDI QIDQ1128109

Ji Huai Shi, Guang Bin Ren

Publication date: 10 August 1998

Published in: Science in China. Series A (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/9608201

zbMATH Keywords

Gleason's problemweighted Bergman \(p\)-space

Mathematics Subject Classification ID

Other spaces of holomorphic functions of several complex variables (e.g., bounded mean oscillation (BMOA), vanishing mean oscillation (VMOA)) (32A37) Integral representations; canonical kernels (Szeg?, Bergman, etc.) (32A25)

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Boundedness of the Bergman type operators on mixed norm spaces ⋮ Solvability of the Gleason problem on a class of bounded pseudoconvex domains ⋮ The Gleason's problem for some polyharmonic and hyperbolic harmonic function spaces ⋮ Gleason's problem on the space \(F^{p, q, s}(B)\) in \(\mathbb{C}^n\) ⋮ The Gleason's problem on normal weight general function spaces in the unit ball of \(\mathbb{C}^n\) ⋮ Forelli-Rudin type theorem in pluriharmonic Bergman spaces with small index ⋮ Toeplitz type operator and Gleason's problem on H^p,q,s(B) of Cⁿ ⋮ The equivalent norms and the Gleason's problem on \(\mu\)-Zygmund spaces in \(\mathbf C^n\) ⋮ The Gleason's problem on \(F(p,q,s)\) type spaces in the unit ball of \(\mathbb{C^{n}}\) ⋮ \(\mathcal{N}(p,q,s)\)-type spaces in the unit ball of \(\mathbb{C}^n\). IV: Atomic decomposition, Gleason's problem and distance problems ⋮ A class of integral operators on mixed norm spaces in the unit ball

Cites Work

• Unnamed Item
• Bergman type operators on a class of weakly pseudoconvex domains
• Finitely generated ideals in certain function algebras
• The Bergman Spaces, The Bloch Space, and Gleason's Problem
• Holomorphic Lipschitz Functions in Pseudoconvex Domains
• Projections on spaces of holomorphic functions on certain domains inC²