Non-stretch mappings for a sharp estimate of the Beurling-Ahlfors operator
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Publication:2019161
DOI10.1016/j.jmaa.2013.11.010zbMath1319.42010OpenAlexW2066756200MaRDI QIDQ2019161
Publication date: 27 March 2015
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.2013.11.010
Singular and oscillatory integrals (Calderón-Zygmund, etc.) (42B20) Harmonic, subharmonic, superharmonic functions in two dimensions (31A05) Harmonic analysis in several variables (42B99) Harmonic analysis and PDEs (42B37)
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Cites Work
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- Hyperbolically bi-Lipschitz continuity for \(1/|w|^2\)-harmonic quasiconformal mappings
- Some remarks on the \(L^p\) estimates for powers of the Ahlfors-Beurling operator
- Integral means and arclength inequalities for typically real logharmonic mappings
- Harmonicity of the inverse of a harmonic diffeomorphism
- Boundary value problems and sharp inequalities for martingale transforms
- A rotation method which gives linear \(L^{p}\) estimates for powers of the Ahlfors--Beurling operator
- Quasiconformal 4-manifolds
- Extremal inequalities in Sobolev spaces and quasiconformal mappings
- Area distortion of quasiconformal mappings
- Heating of the Ahlfors-Beurling operator: weakly quasiregular maps on the plane are quasiregular
- Sharp inequalities for martingales with applications to the Beurling-Ahlfors and Riesz transforms
- The foundational inequalities of D. L. Burkholder and some of their ramifications
- Sharp inequalities for the Beurling-Ahlfors transform on radial functions
- Subordination by conformal martingales in \(L^{p}\) and zeros of Laguerre polynomials
- Quasi-convexity and the lower semicontinuity of multiple integrals
- Nonlinear Cauchy-Riemann operators in ℝⁿ
- Burkholder integrals, Morrey’s problem and quasiconformal mappings
- $L^p$--bounds for the Beurling--Ahlfors transform
- Univalent Functions in H ⋅ _ H (D)
- Rank-one convexity does not imply quasiconvexity
- A Report on Harmonic Maps
- Harmonic univalent functions
- Heating of the Ahlfors–Beurling operator, and estimates of its norm
- Bellman function, Littlewood-Paley estimates and asymptotics for the Ahlfors-Beurling operator in L^p(C)
