Bellman function for the estimates of Littlewood--Paley type and asymptotic estimates in the \(p-1\) problem

DOI10.1016/j.crma.2005.03.021zbMath1079.47051OpenAlexW2085223672MaRDI QIDQ557104

Oliver Dragičević, Alexander Volberg

Publication date: 23 June 2005

Published in: Comptes Rendus. Mathématique. Académie des Sciences, Paris (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.crma.2005.03.021

zbMATH Keywords

singular integralBellman functionRiesz transformAhlfors--Beurling operatorLittlewood--Paley inequalities

Mathematics Subject Classification ID

Integration, integrals of Cauchy type, integral representations of analytic functions in the complex plane (30E20) Maximal functions, Littlewood-Paley theory (42B25) Integral operators (47G10)

Related Items

Fourier multipliers and Dirac operators ⋮ The foundational inequalities of D. L. Burkholder and some of their ramifications ⋮ Bilinear embedding for real elliptic differential operators in divergence form with potentials

Cites Work

• Extremal inequalities in Sobolev spaces and quasiconformal mappings
• Heating of the Ahlfors-Beurling operator: weakly quasiregular maps on the plane are quasiregular
• Space-time Brownian motion and the Beurling-Ahlfors transform
• The Bellman functions and two-weight inequalities for Haar multipliers
• Heating of the Ahlfors–Beurling operator, and estimates of its norm
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item