The multipliers between the mixed norm spaces in \(\mathbb C^n\)

DOI10.1016/j.jmaa.2005.03.010zbMath1080.32003OpenAlexW2039295988MaRDI QIDQ2569912

Zhangjian Hu, Xue-Jun Zhang, Jian-Bin Xiao

Publication date: 24 October 2005

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2005.03.010

zbMATH Keywords

Bergman spaceunit ballpointwise multipliermixed norm space

Mathematics Subject Classification ID

Bergman spaces of functions in several complex variables (32A36)

Related Items (17)

Cesàro-like operators acting on spaces of analytic functions ⋮ Gleason's problem on the space \(F^{p, q, s}(B)\) in \(\mathbb{C}^n\) ⋮ Multiplier and composition operator between several holomorphic function spaces in \(C^n\) ⋮ On an operator \(M_{u}\mathcal{R}\) from mixed norm spaces to Zygmund-type spaces on the unit ball ⋮ Boundedness for iterated commutators on the mixed norm spaces ⋮ Forelli-Rudin type operators on the space \(L^{p,q,s}(B)\) and some applications ⋮ Cesàro-type operators associated with Borel measures on the unit disc acting on some Hilbert spaces of analytic functions ⋮ Essential norms of weighted composition operators from weighted Bergman space to mixed-norm space on the unit ball ⋮ Compact Cesàro operators from spaces \(H(p,q,u)\) to \(H(p,q,v)\) ⋮ The multiplication operator from \(F(p, q, s)\) spaces to \(n\)th weighted-type spaces on the unit disk ⋮ Multipliers in holomorphic mean Lipschitz spaces on the unit ball ⋮ Unnamed Item ⋮ Toeplitz type operator and Gleason's problem on H^p,q,s(B) of Cⁿ ⋮ Riemann--Stieltjes operators between Bergman-type spaces and \(\alpha \)-Bloch spaces ⋮ Holomorphic mean Lipschitz spaces and Hardy–Sobolev spaces on the unit ball ⋮ Unnamed Item ⋮ An integral estimate and the equivalent norms on \(F(p,q,s,k)\) spaces in the unit ball

Cites Work

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• Multipliers of BMO in the Bergman metric with applications to Toeplitz operators
• Multipliers of the Dirichlet space
• Bergman type operator on mixed norm spaces with applications
• The pointwise multipliers of Bloch type space \(\beta^{p}\) and Dirichlet type space \(D_{q}\) on the unit ball of \(\mathbb{C}^{n}\).
• Multipliers and cyclic vectors in Bloch type spaces.
• Extended Cesàro operators on Bergman spaces
• Multipliers on D α
• Multipliers on Dirichlet type spaces

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