A dual approach to Burkholder's Lp estimates

DOI10.1112/blms.12487zbMath1493.60071arXiv2006.08082OpenAlexW3139824028MaRDI QIDQ5153924

Adam Osȩkowski, Tomasz Gałązka, Rodrigo Bañuelos

Publication date: 1 October 2021

Published in: Bulletin of the London Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2006.08082

zbMATH Keywords

subordinate martingales

Mathematics Subject Classification ID

Inequalities; stochastic orderings (60E15) Martingales with discrete parameter (60G42) Martingales with continuous parameter (60G44) Stochastic integrals (60H05)

Cites Work

• On the Bellman function of Nazarov, Treil and Volberg
• Functional calculus for generators of symmetric contraction semigroups
• Boundary value problems and sharp inequalities for martingale transforms
• Lévy processes and Fourier multipliers
• Differential subordination and strong differential subordination for continuous-time martingales and related sharp inequalities
• Sharp inequalities for martingales with applications to the Beurling-Ahlfors and Riesz transforms
• Survey article: Bellman function method and sharp inequalities for martingales
• Sharp martingale inequalities and applications to Riesz transforms on manifolds, Lie groups and Gauss space
• Hardy–Stein identities and square functions for semigroups
• Sharp Martingale and Semimartingale Inequalities
• 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
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