Weighted estimates for powers of the Ahlfors-Beurling operator
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Publication:3005623
DOI10.1090/S0002-9939-2010-10645-7zbMath1230.42017OpenAlexW1981036527MaRDI QIDQ3005623
Publication date: 9 June 2011
Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1090/s0002-9939-2010-10645-7
Related Items (7)
Representation of singular integrals by dyadic operators, and the \(A_2\) theorem ⋮ Sharp \(L^p\) estimates of powers of the complex Riesz transform ⋮ The Ahlfors–Beurling transform on Morrey spaces with variable exponents ⋮ TheA-integral and restricted Ahlfors–Beurling transform ⋮ DISCRETE AHLFORS-BEURLING TRANSFORM AND ITS PROPERTIES ⋮ Quantitative weighted estimates for rough homogeneous singular integrals ⋮ Unnamed Item
Cites Work
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- Extrapolation and sharp norm estimates for classical operators on weighted Lebesgue spaces
- A rotation method which gives linear \(L^{p}\) estimates for powers of the Ahlfors--Beurling operator
- Extremal inequalities in Sobolev spaces and quasiconformal mappings
- Area distortion of quasiconformal mappings
- Sharp estimate of the Ahlfors-Beurling operator via averaging martingale transforms
- A sharp estimate on the norm of the martingale transform
- Beltrami operators in the plane
- Heating of the Ahlfors-Beurling operator: weakly quasiregular maps on the plane are quasiregular
- $L^p$--bounds for the Beurling--Ahlfors transform
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