\(L_{p,q }\)-norm estimates associated with Burkholder's inequalities

DOI10.1007/s11425-011-4319-1zbMath1262.60036OpenAlexW2362398997MaRDI QIDQ1934546

Yong Jiao

Publication date: 29 January 2013

Published in: Science China. Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11425-011-4319-1

zbMATH Keywords

martingalesRosenthal's inequalitiesLorentz spacesBurkholder's inequalities

Mathematics Subject Classification ID

Martingales with discrete parameter (60G42) Martingales and classical analysis (60G46)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Embeddings of Lorentz spaces of vector-valued martingales
• Lorentz martingale spaces and interpolation
• Atomic decompositions of Lorentz martingale spaces and applications.
• Generalized Rosenthal's inequality for Banach-space-valued martingales
• Weak type estimates associated to Burkholder's martingale inequality
• Noncommutative Burkholder/Rosenthal inequalities. II: Applications
• Distribution function inequalities for martingales
• Martingale Hardy spaces and their applications in Fourier analysis
• Noncommutative Burkholder/Rosenthal inequalities
• Interpolation theorems on weighted Lorentz martingale spaces
• Convolution operators and L(p, q) spaces
• On the subspaces of \(L^p\) \((p > 2)\) spanned by sequences of independent random variables
• Extrapolation and interpolation of quasi-linear operators on martingales
• Inequalities for Sums of Independent Random Variables

This page was built for publication: \(L_{p,q }\)-norm estimates associated with Burkholder's inequalities