Sharp llogl inequalities for differentially subordinated martingales and harmonic functions

zbMath1187.60031MaRDI QIDQ733350

Adam Osȩkowski

Publication date: 15 October 2009

Published in: Illinois Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.ijm/1254403712

zbMATH Keywords

harmonic functionmartingaledifferential subordination

Mathematics Subject Classification ID

Martingales with discrete parameter (60G42)

Related Items (11)

A sharp maximal inequality for continuous martingales and their differential subordinates ⋮ Fourier multipliers and weak differential subordination of martingales in UMD Banach spaces ⋮ Sharp inequality for martingale maximal functions and stochastic integrals ⋮ Weak \(\Phi\)-inequalities for the Haar system and differentially subordinated martingales ⋮ Logarithmic estimates for submartingales and their differential subordinates ⋮ Logarithmic inequalities for Fourier multipliers ⋮ Maximal inequalities for martingales and their differential subordinates ⋮ Sharp \(L^2 \log L\) inequalities for the Haar system and martingale transforms ⋮ Sharp maximal inequalities for the moments of martingales and non-negative submartingales ⋮ Logarithmic estimates for nonsymmetric martingale transforms ⋮ Sharp maximal \(L^p\)-bounds for continuous martingales and their differential subordinates

Cites Work

• Boundary value problems and sharp inequalities for martingale transforms
• Inequalities for dominated martingales
• A geometrical characterization of Banach spaces in which martingale difference sequences are unconditional
• Differential subordination and strong differential subordination for continuous-time martingales and related sharp inequalities
• A sharp weak type $(p,p)$ inequality $(p>2)$ for martingale transforms and other subordinate martingales
• Unnamed Item
• Unnamed Item

This page was built for publication: Sharp llogl inequalities for differentially subordinated martingales and harmonic functions