Higher radial derivative of functions of \(Q_{p}\) spaces and its applications

DOI10.1016/j.jmaa.2006.04.088zbMath1111.32002OpenAlexW2084375523MaRDI QIDQ860663

Bo Li, Caiheng Ouyang

Publication date: 9 January 2007

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.2006.04.088

zbMATH Keywords

\(Q_p\) spacesDirichlet type spaceshigher radial derivativeRandom power series.

Mathematics Subject Classification ID

(H^p)-spaces, Nevanlinna spaces of functions in several complex variables (32A35) Bergman spaces of functions in several complex variables (32A36) Other spaces of holomorphic functions of several complex variables (e.g., bounded mean oscillation (BMOA), vanishing mean oscillation (VMOA)) (32A37)

Related Items (11)

Pointwise multiplication operators from Hardy spaces to weighted Bergman spaces in the unit ball of \(\mathbb{C}^n\) ⋮ On an operator \(M_{u}\mathcal{R}\) from mixed norm spaces to Zygmund-type spaces on the unit ball ⋮ Embedding of Qp spaces into tent spaces and the extended Cesàro operator ⋮ Riemann-Stieltjes operators and multipliers on \(Q_p\) spaces in the unit ball of \(C^n\) ⋮ A uniqueness theorem for meromorphic functions concerning total derivatives in several complex variables ⋮ Holomorphic Campanato spaces on the unit ball ⋮ \(\mathcal{N}(p,q,s)\)-type spaces in the unit ball of \(\mathbb{C}^n\). V: Riemann-Stieltjes operators and multipliers ⋮ Pointwise multipliers from Dirichlet type spaces \(D_\tau \) to \(Q_p\) spaces in the unit ball of \(\mathbb C^n\) ⋮ Zalcman's lemma and normality concerning shared values of holomorphic functions and their total derivatives in several complex variables ⋮ Characterizations of \(Q_p\) spaces in the unit ball of \(\mathbb C^n\) ⋮ Compact intertwining relation for multiplication operators in several complex variables

Cites Work

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• On Dirichlet type spaces and \(\alpha\)-Bloch spaces in the unit ball of \(\mathbb C^n\)
• Möbius invariant \(Q_p\) spaces associated with the Green's function on the unit ball of \(C^n\)
• Random Dirichlet type functions on the unit ball of \(\mathbb{C}^n\)
• Higher radial derivative of Bloch type functions
• Randomization of \(\mathbb Q_p\) spaces on the unit ball of \(\mathbb C^n\)
• On Dirichlet type spaces, α-Bloch spaces and Qp spaces on the unit ball of Cn
• On Homogeneous Polynomials on a Complex Ball
• Radial Limits of M-Subharmonic Functions
• The n-th derivative characterisation of Möbius invariant Dirichlet space
• Carleson type measure characterization of Qp spaces
• Random Dirichlet Functions: Multipliers and Smoothness

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