Dirichlet and VMOA domains via Schwarzian derivative

DOI10.1016/j.jmaa.2009.06.023zbMath1178.30005OpenAlexW1976563504MaRDI QIDQ837587

Jouni Rättyä, Fernando Pérez-González

Publication date: 20 August 2009

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.2009.06.023

zbMATH Keywords

Schwarzian derivativeBesov spaceCarleson measureBMOADirichlet spaceVMOAconformal map

Mathematics Subject Classification ID

General theory of conformal mappings (30C35)

Related Items (10)

Quasiconformal properties of \(Q_{p, 0}\) curves and Dirichlet-type curves ⋮ Analytic Campanato spaces by functionals and operators ⋮ Characterizations involving Schwarzian derivative in some analytic function spaces ⋮ Schwarzian derivative and general Besov-type domains ⋮ Function theoretic characterizations of Weil-Petersson curves ⋮ Univalent functions and Dirichlet-Morrey spaces ⋮ A note on \(Q_p\) domains ⋮ Univalent functions, \(VMOA\) and related spaces ⋮ Some characterizations of weighted holomorphic function classes by univalent function classes ⋮ Generalized Schwarzian derivatives and higher order differential equations

Cites Work

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• On univalent functions, Bloch functions and VMOA
• Über die quasikonforme Fortsetzung schlichter Funktionen
• Harmonic measure, \(L^ 2\) estimates and the Schwarzian derivative
• Teichmüller spaces and BMOA
• Some subclasses of BMOA and their characterization in terms of Carleson measures
• Logarithms of the derivative of univalent functions in \(Q_p \) spaces
• The n-th derivative characterisation of Möbius invariant Dirichlet space

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