The sharp constant in the weak (1,1) inequality for the square function: a new proof

DOI10.4171/RMI/1147zbMath1444.42012arXiv1710.01346OpenAlexW2980652253MaRDI QIDQ783778

Paata Ivanisvili, Alexander Volberg, Irina Holmes

Publication date: 4 August 2020

Published in: Revista Matemática Iberoamericana (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1710.01346

zbMATH Keywords

Bellman functiondyadic square functionweak inequality

Mathematics Subject Classification ID

Singular and oscillatory integrals (Calderón-Zygmund, etc.) (42B20) Function spaces arising in harmonic analysis (42B35) Norms (inequalities, more than one norm, etc.) of linear operators (47A30)

Related Items (2)

Sharp moment estimates for martingales with uniformly bounded square functions ⋮ Obstacle Problems Generated by the Estimates of Square Function

Cites Work

• On the best constant in the weak type inequality for the square function of a conditionally symmetric martingale
• Martingale inequalities
• Convex functions and their applications. A contemporary approach
• Unnamed Item

This page was built for publication: The sharp constant in the weak (1,1) inequality for the square function: a new proof