Bellman function, Littlewood-Paley estimates and asymptotics for the Ahlfors-Beurling operator in L^p(C)

DOI10.1512/iumj.2005.54.2554zbMath1103.47036OpenAlexW2080044970MaRDI QIDQ5704299

Oliver Dragičević, Alexander Volberg

Publication date: 14 November 2005

Published in: Indiana University Mathematics Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1512/iumj.2005.54.2554

zbMATH Keywords

Fourier multipliers Riesz transforms Littlewood-Paley estimates heat extensions Ahlfors-Beurling operator

Mathematics Subject Classification ID

Singular and oscillatory integrals (Calderón-Zygmund, etc.) (42B20) Maximal functions, Littlewood-Paley theory (42B25) Linear operators on function spaces (general) (47B38) Integral operators (47G10) Quasiconformal mappings in the complex plane (30C62)

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