The higher order derivatives of \(Q_{K}\) type spaces

DOI10.1016/j.jmaa.2006.10.082zbMath1126.46017OpenAlexW2147847040MaRDI QIDQ884366

Jizhen Zhou, Hasi Wulan

Publication date: 6 June 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.2006.10.082

zbMATH Keywords

higher order derivatives\(Q_K(p,q)\) spaces\(K\)-Carleson measures

Mathematics Subject Classification ID

Spaces of bounded analytic functions of one complex variable (30H05) Banach spaces of continuous, differentiable or analytic functions (46E15)

Related Items (14)

On \(F(p, q, s)\) spaces ⋮ Linear differential equations with solutions in the \(Q_K\) spaces ⋮ On multipliers of Dirichlet type spaces ⋮ Hyperholomorphic \(Q\) classes ⋮ Characterizations involving Schwarzian derivative in some analytic function spaces ⋮ Composition operators and closures of \(\mathcal{Q}_K(p,q)\)-type spaces in the Logarithmic Bloch space ⋮ Second-order linear differential equations with solutions in analytic function spaces ⋮ Necessary and sufficient conditions for inner functions to be in \(Q_K(p, p - 2)\)-spaces ⋮ Complex linear differential equations with solutions in Dirichlet-Morrey spaces ⋮ Generalized composition operators on \(Q_{K,\omega} (p,q)\) spaces ⋮ Lipschitz spaces and \(Q _{K }\) type spaces ⋮ Some characterizations of weighted holomorphic function classes by univalent function classes ⋮ Distances from Bloch functions to \(Q_{K}\)-type spaces ⋮ Decomposition theorems and conjugate pair in \(D_K\) spaces

Cites Work

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• Several function-theoretic characterizations of Möbius invariant \(\mathcal Q_K\) spaces
• \(Q_K\) spaces via higher order derivatives
• Bloch type spaces of analytic functions
• On analytic and meromorphic functions and spaces of \(Q_K\)-type
• \(Q_K\) type spaces of analytic functions
• The dual of an inequality of Hardy and Littlewood and some related inequalities
• Inequalities for the Integral Means of Holomorphic Functions and their Derivatives in the Unit Ball of C n
• The n-th derivative characterisation of Möbius invariant Dirichlet space
• Characterizations of \(O_T\) spaces
• Holomorphic \(Q\) classes

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