A superharmonic proof of the M. Riesz conjugate function theorem

DOI10.1007/BF02384381zbMath0562.30002OpenAlexW1997354630MaRDI QIDQ2266776

Matts Essén

Publication date: 1984

Published in: Arkiv för Matematik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02384381

zbMATH Keywords

superharmonic functionanalytic functions in the unit diskRiesz's inequality

Mathematics Subject Classification ID

Harmonic, subharmonic, superharmonic functions in higher dimensions (31B05) Conjugate functions, conjugate series, singular integrals (42A50) Inequalities in the complex plane (30A10)

Related Items (24)

Sharp \(L\log^\alpha L\) inequalities for conjugate functions ⋮ Doob-Type Estimates for Differentially Subordinated Martingales ⋮ Second order Riesz transforms on multiply-connected Lie groups and processes with jumps ⋮ 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 weak-type inequalities for Hilbert transform and Riesz projection ⋮ Hollenbeck-Verbitsky conjecture on best constant inequalities for analytic and co-analytic projections ⋮ Riesz transforms on compact Lie groups, spheres and Gauss space ⋮ Various Sharp Estimates for Semi-discrete Riesz Transforms of the Second Order ⋮ On the \(\ell^p\)-norm of the discrete Hilbert transform ⋮ Inequalities for the truncated Hilbert transform and the segment multiplier ⋮ A. Kolmogorov and M. Riesz Theorems for Octonion-valued Monogenic Functions ⋮ Sharp \(L^p\) estimates for discrete second order Riesz transforms ⋮ Sharp \(L^p\) bound for holomorphic functions on the unit disc ⋮ Subharmonicity and a version of Riesz theorem on harmonic conjugates ⋮ Discrete Hilbert transform à la Gundy–Varopoulos ⋮ Sharp estimates for holomorphic functions on the unit ball of ℂⁿ ⋮ Logarithmic estimates for the Hilbert transform and the Riesz projection ⋮ On Riesz type inequalities for harmonic mappings on the unit disk ⋮ On Fourier Multipliers Over Tube Domains ⋮ On the best constants in the weak type inequalities for re-expansion operator and Hilbert transform ⋮ Best constants for the Riesz projection ⋮ Best constant inequalities for conjugate functions ⋮ Split functions, Fourier transforms and multipliers

Cites Work

• On a Theorem of M. Riesz
• On the best values of the constants in the theorem of M. Riesz, Zygmund and Kolmogorov
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: A superharmonic proof of the M. Riesz conjugate function theorem