An image-area inequality for some planar holomorphic maps

DOI10.1007/BF03322440zbMath0954.30017OpenAlexW2011287437MaRDI QIDQ1578470

Karl-Joachim Wirths, Jie Xiao

Publication date: 31 August 2000

Published in: Results in Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf03322440

zbMATH Keywords

inequalitiesholomorphic mapsimage area

Mathematics Subject Classification ID

Related Items (11)

Weighted integrals of holomorphic functions on the polydisc ⋮ On an area inequality and weighted integrals of analytic functions ⋮ Lipschitz-type spaces and Hardy spaces on some classes of complex-valued functions ⋮ Radial growth, Lipschitz and Dirichlet spaces on solutions to the non-homogenous Yukawa equation ⋮ Characterizations of Hardy-type, Bergman-type and Dirichlet-type spaces on certain classes of complex-valued functions ⋮ Hardy-Stein identities and Littlewood-Paley inequalities in a polydisc ⋮ On Ren-Kähler's paper ``Hardy-Littlewood inequalities and \(Q_p\)-spaces [Z. Anal. Anwendungen 24, 375--388 (2005; Zbl. 1096.30044)] ⋮ Dirichlet-type energy integrals of hyperbolic harmonic mappings ⋮ Weighted integrals of holomorphic functions on the polydisc. II. ⋮ Decomposition theorems and conjugate pair in \(D_K\) spaces ⋮ Characterizations of Lipschitz-type, Bloch-type and Dirichlet-type spaces

Cites Work

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• Interpolation by functions in Bergman spaces
• Characterizations of certain classes of Hankel operators on the Bergman spaces of the unit disk
• Radial variation of Bloch functions
• Operators on harmonic Bergman spaces
• The dual of an inequality of Hardy and Littlewood and some related inequalities
• Suites D'Interpolation Pour les Classes de Bergman de la Boule et du Polydisque de Cⁿ
• A factorization theorem for the derivative of a function in $H^p$
• Geometric asymptotics and the logarithmic Sobolev inequality
• Radial variation of functions in Dirichlet‐type spaces
• Category theorems for certain Banach spaces of analytic functions.

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