Logarithmic estimates for submartingales and their differential subordinates

DOI10.1007/S10959-009-0268-9zbMath1234.60045OpenAlexW2045216194MaRDI QIDQ639329

Adam Osȩkowski

Publication date: 20 September 2011

Published in: Journal of Theoretical Probability (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10959-009-0268-9

zbMATH Keywords

maximal functionboundary value problemmartingalesubharmonic functiondifferential subordinationsubmartingalestrong differential subordinationLlogL class

Mathematics Subject Classification ID

Martingales with discrete parameter (60G42) Harmonic, subharmonic, superharmonic functions in higher dimensions (31B05)

Related Items (2)

Sharp inequality for martingale maximal functions and stochastic integrals ⋮ Logarithmic inequalities for Fourier multipliers

Cites Work

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• Sharp weak-type inequalities for differentially subordinated martingales
• Sharp llogl inequalities for differentially subordinated martingales and harmonic functions
• Boundary value problems and sharp inequalities for martingale transforms
• Sharp maximal inequality for martingales and stochastic integrals
• Strong differential subordination and stochastic integration
• 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
• A sharp weak type $(p,p)$ inequality $(p>2)$ for martingale transforms and other subordinate martingales
• Sharp maximal inequality for stochastic integrals
• A weak-type inequality of subharmonic functions
• A submartingale inequality

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