Inequalities and duality results with respect to two-parameter strong martingales

DOI10.1007/BF02789830zbMath0910.60035OpenAlexW2317782063MaRDI QIDQ1272185

Ferenc Weisz

Publication date: 23 November 1998

Published in: Analysis Mathematica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02789830

zbMATH Keywords

Hardy spacesduality resultsBurkholder inequalityconditional quadratic variationtwo parameter strong martingales

Mathematics Subject Classification ID

Martingales with continuous parameter (60G44) Martingales and classical analysis (60G46)

Related Items (2)

Real interpolation between strong martingale Hardy spaces ⋮ Duality results and inequalities with respect to Hardy spaces containing function sequences

Cites Work

• A stochastic calculus for continuous N-parameter strong martingales
• Stopping for two-dimensional stochastic processes
• Comparaison des normes \(L^ p\) du processus croissant et de la variable maximale pour les martingales régulières à deux indices. Théoreme local correspondant
• Transformées de Burkholder et sommabilité de martingales à deux paramètres
• Two-parameter martingales and their quadratic variation
• Distribution function inequalities for martingales
• Stochastic integrals in the plane
• Weak martingales and stochastic integrals in the plane
• Martingale Hardy spaces for \(0<p\leq 1\)
• On the integrability of the martingale square function
• Extrapolation and interpolation of quasi-linear operators on martingales
• Bounded Mean Oscillation and Regulated Martingales
• Convergence and regularity of multiparameter strong martingales
• An application of two-parameter martingales in harmonic analysis
• Topics in Harmonic Analysis Related to the Littlewood-Paley Theory. (AM-63)
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