The Gleason's problem on \(F(p,q,s)\) type spaces in the unit ball of \(\mathbb{C^{n}}\)

DOI10.1007/s11785-017-0743-8zbMath1454.32004OpenAlexW2766226866MaRDI QIDQ722264

Yuting Guo, Qingli Shang, Shenlian Li, Xue-Jun Zhang

Publication date: 23 July 2018

Published in: Complex Analysis and Operator Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11785-017-0743-8

zbMATH Keywords

solvabilityGleason's problemunit ball\(F(p, q, s, k)\) space

Mathematics Subject Classification ID

Linear composition operators (47B33) Other spaces of holomorphic functions of several complex variables (e.g., bounded mean oscillation (BMOA), vanishing mean oscillation (VMOA)) (32A37)

Related Items

On \(F(p, q, s)\) spaces ⋮ Gleason's problem on the space \(F^{p, q, s}(B)\) in \(\mathbb{C}^n\) ⋮ Forelli-Rudin type operators on the space \(L^{p,q,s}(B)\) and some applications ⋮ Higher order derivatives and derivative-free characterizations of \(F(p, q, s)\) ⋮ Unnamed Item ⋮ Integral estimates and multiplier operators from normal weight general function spaces to Bloch type spaces ⋮ Composition operator on F(p,q,s) spaces in the unit ball of ⋮ Unnamed Item ⋮ Toeplitz type operator and Gleason's problem on H^p,q,s(B) of Cⁿ ⋮ Analytic \(Q_{\log,p}\) spaces ⋮ An integral estimate and the equivalent norms on \(F(p,q,s,k)\) spaces in the unit ball

Cites Work

• Generalized weighted composition operators from the \(F(p, q, s)\) space to the Bloch-type space
• Volterra composition operators from \(F(p,q,s)\) spaces to Bloch-type spaces
• Gleason's problem in weighted Bergman space on egg domains
• Bergman type operator on mixed norm spaces with applications
• Composition operators from \(B^\alpha\) to \(F(p,q,s)\).
• The equivalent norms of \(F(p,q,s)\) space in \(\mathrm{C}^n\)
• The equivalent norms and the Gleason's problem on \(\mu\)-Zygmund spaces in \(\mathbf C^n\)
• Finitely generated ideals in certain function algebras
• The gleason problem in bergman–sobolev spaces
• WEIGHTED COMPOSITION OPERATORS FROM F(p, q, s) INTO LOGARITHMIC BLOCH SPACE
• WEIGHTED COMPOSITION OPERATORS FROM F(p, q, s) TO BLOCH TYPE SPACES ON THE UNIT BALL
• The Bergman Spaces, The Bloch Space, and Gleason's Problem
• Holomorphic Lipschitz Functions in Pseudoconvex Domains
• A forelli-rudin type theorem with applications
• Boundedness of the Bergman type operators on mixed norm spaces
• Spaces of Holomorphic Functions in the Unit Ball
• Corona Type Decomposition in Some Besov Spaces.
• On an integral-type operator from a weighted-type space toF(p,q,s) on the unit ball
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: The Gleason's problem on \(F(p,q,s)\) type spaces in the unit ball of \(\mathbb{C^{n}}\)