Some characterizations of the Besov space and the \(\alpha \)-Bloch space

DOI10.1016/j.jmaa.2008.05.044zbMath1156.32002OpenAlexW2035043527MaRDI QIDQ933490

Stevo Stević, Songxiao Li

Publication date: 21 July 2008

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.2008.05.044

zbMATH Keywords

Besov spaceinvariant measure\(\alpha\)-Bloch spaceinvariant gradient

Mathematics Subject Classification ID

Bloch functions, normal functions of several complex variables (32A18) Other spaces of holomorphic functions of several complex variables (e.g., bounded mean oscillation (BMOA), vanishing mean oscillation (VMOA)) (32A37) Holomorphic functions of several complex variables (32A10)

Related Items (12)

Oscillation of holomorphic Bergman-Besov kernels on the ball ⋮ The contemporary development in M. M. Djrbashian factorization theory and related problems of analysis ⋮ Generalized Stević-Sharma operators from the minimal Möbius invariant space into Bloch-type spaces ⋮ Properties of Toeplitz operators on some holomorphic Banach function spaces ⋮ Weighted composition operators on some weighted spaces in the unit ball ⋮ Generalized Bloch spaces, integral means of hyperbolic harmonic mappings in the unit ball ⋮ Some characterizations of harmonic Bloch and Besov spaces ⋮ Extended Cesàro operators from logarithmic-type spaces to Bloch-type spaces ⋮ Weighted composition operators from \(F(p,q,s)\) spaces to \(H_{\mu }^{\infty}\) spaces ⋮ On an integral-type operator from logarithmic Bloch-type and mixed-norm spaces to Bloch-type spaces ⋮ On Stević-Sharma operators from the minimal Möbius invariant space into Zygmund-type spaces ⋮ Some new characterizations of the Bloch space

Cites Work

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• Analytic Besov spaces
• A characterization of Bloch space and Besov space
• Boundedness and compactness of an integral operator on a weighted space on the polydisc
• Higher radial derivative of Bloch type functions
• Characterizations of \(\alpha \)-Bloch spaces on the unit ball
• Norm equivalence and composition operators between Bloch/Lipschitz spaces of the ball
• On an integral operator on the unit ball in \(\mathbb{C}^n\)
• Bloch space and möbius invariant besov spaces on the unit ball of
• Bloch Functions in Several Complex Variables, I
• A CHARACTERIZATION OF BLOCH FUNCTIONS
• Besov-type characterisations for the Bloch space
• Bloch functions in several complex variables. II.
• Möbius invariant besov p-spaces and hankel operators in the bergman space on the ball in C ⁿ
• Spaces of Holomorphic Functions in the Unit Ball
• Bloch space in the unit ball of $\mathbb {C}^{n}$
• Characterizations of Bergman Spaces and Bloch Space in the Unit Ball of C n
• The Bloch space and Besov spaces of analytic functions
• Riemann–Stieltjes-type integral operators on the unit ball in

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