New estimates for the Beurling-Ahlfors operator on differential forms

zbMath1240.42023arXiv0901.0345MaRDI QIDQ5391212

Brett D. Wick, Stefanie Petermichl, Leonid Slavin

Publication date: 6 April 2011

Full work available at URL: https://arxiv.org/abs/0901.0345

zbMATH Keywords

differential formsBeurling-Ahlfors operatorBellman functionsheat extension

Mathematics Subject Classification ID

Singular and oscillatory integrals (Calderón-Zygmund, etc.) (42B20) Multipliers for harmonic analysis in several variables (42B15) Integral operators (47G10) Harmonic analysis in several variables (42Bxx)

Related Items (11)

A linear dimensionless bound for the weighted Riesz vector ⋮ Fourier multipliers and Dirac operators ⋮ The foundational inequalities of D. L. Burkholder and some of their ramifications ⋮ Orthogonality in complex martingale spaces and connections with the Beurling-Ahlfors transform ⋮ On the \(\Pi\)-operator in Clifford analysis ⋮ Bilinear embedding for divergence-form operators with complex coefficients on irregular domains ⋮ Convexity of power functions and bilinear embedding for divergence-form operators with complex coefficients ⋮ Second order elliptic equations and Hodge-Dirac operators ⋮ Sharp Lorentz estimates for dyadic-like maximal operators and related Bellman functions ⋮ Sharp martingale inequalities and applications to Riesz transforms on manifolds, Lie groups and Gauss space ⋮ Extremal sequences for the Bellman function of three variables of the dyadic maximal operator related to Kolmogorov’s inequality

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