Hilbert transform in the complex plane and area inequalities for certain quadratic differentials

DOI10.1307/mmj/1029003621zbMath0641.30036OpenAlexW2058570314MaRDI QIDQ1100585

Tadeusz Iwaniec

Publication date: 1987

Published in: Michigan Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1307/mmj/1029003621

zbMATH Keywords

Hilbert transformquadratic differential

Mathematics Subject Classification ID

Singular and oscillatory integrals (Calderón-Zygmund, etc.) (42B20) Special integral transforms (Legendre, Hilbert, etc.) (44A15) Differentials on Riemann surfaces (30F30)

Related Items (10)

Regularity of the Beurling transform in smooth domains ⋮ The Dirichlet principle for inner variations ⋮ Heating of the Ahlfors–Beurling operator, and estimates of its norm ⋮ Sharp logarithmic bounds for Beurling-Ahlfors operator restricted to the class of radial functions ⋮ Energy minimisers of perturbed dislocation energies ⋮ TheA-integral and restricted Ahlfors–Beurling transform ⋮ Weak-type inequalities for Fourier multipliers with applications to the Beurling-Ahlfors transform ⋮ Extra cancellation of even Calderón-Zygmund operators and quasiconformal mappings ⋮ Beltrami operators in the plane ⋮ Heating of the Ahlfors-Beurling operator: weakly quasiregular maps on the plane are quasiregular

This page was built for publication: Hilbert transform in the complex plane and area inequalities for certain quadratic differentials