Weak type estimates associated to Burkholder's martingale inequality

DOI10.4171/RMI/522zbMath1155.46033arXivmath/0508447MaRDI QIDQ925118

Javier Parcet

Publication date: 29 May 2008

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

Full work available at URL: https://arxiv.org/abs/math/0508447

zbMATH Keywords

Rosenthal's inequalityBurkholder-Davis-Gundy inequalitiesDavis' decompositionnoncommutative generalizations

Mathematics Subject Classification ID

Martingales with discrete parameter (60G42) Noncommutative probability and statistics (46L53) Noncommutative measure and integration (46L51) Noncommutative function spaces (46L52) Martingales and classical analysis (60G46)

We Found 7 Related Items (max. 100)

Conditioned square functions for noncommutative martingales ⋮ Burkholder's inequalities associated with Orlicz functions in rearrangement invariant spaces ⋮ Maximal singular integral operators acting on noncommutative \(L_p\)-spaces ⋮ \(L_{p,q }\)-norm estimates associated with Burkholder's inequalities ⋮ A transference method in quantum probability ⋮ Square functions for noncommutative differentially subordinate martingales ⋮ On martingale transform inequalities in certain quasi-Banach function spaces

Cites Work

• Unnamed Item
• Unnamed Item
• Best constants in moment inequalities for linear combinations of independent and exchangeable random variables
• Non commutative Khintchine and Paley inequalities
• Distribution function inequalities for martingales
• Martingale Hardy spaces and their applications in Fourier analysis
• Non-commutative martingale inequalities
• Noncommutative Burkholder/Rosenthal inequalities
• Non-commutative martingale transforms
• Square function inequalities for non-commutative martingales
• Best constants in martingale version of Rosenthal's inequality
• Conditioned square functions for noncommutative martingales
• Rosenthal type inequalities for free chaos
• On the integrability of the martingale square function
• On the subspaces of \(L^p\) \((p > 2)\) spanned by sequences of independent random variables
• Extrapolation and interpolation of quasi-linear operators on martingales
• Martingales on von Neumann algebras
• Doobs inequality for non-commutative martingales
• ON THE BEST CONSTANTS IN SOME NON-COMMUTATIVE MARTINGALE INEQUALITIES
• GUNDY'S DECOMPOSITION FOR NON-COMMUTATIVE MARTINGALES AND APPLICATIONS
• A Decomposition for $L^1$-Bounded Martingales

This page was built for publication: Weak type estimates associated to Burkholder's martingale inequality