Variational estimates for martingale paraproducts

DOI10.1214/19-ECP257zbMath1422.60068arXiv1812.09763MaRDI QIDQ2274110

Vjekoslav Kovač, Pavel Zorin-Kranich

Publication date: 19 September 2019

Published in: Electronic Communications in Probability (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1812.09763

zbMATH Keywords

paraproductmartingalejump counting functionstrong variation

Mathematics Subject Classification ID

Martingales with discrete parameter (60G42) Martingales with continuous parameter (60G44)

Related Items

Weighted Lépingle inequality ⋮ Rough semimartingales and \(p\)-variation estimates for martingale transforms ⋮ Convergence of ergodic-martingale paraproducts ⋮ Jump inequalities via real interpolation ⋮ Besov rough path analysis (with an appendix by Pavel Zorin-Kranich)

Cites Work

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• Variational estimates for paraproducts
• Variational estimates for the bilinear iterated Fourier integral
• The multilinear Marcinkiewicz interpolation theorem revisited: the behavior of the constant
• Pointwise ergodic theorems for arithmetic sets. With an appendix on return-time sequences, jointly with Harry Furstenberg, Yitzhak Katznelson and Donald S. Ornstein
• A Fefferman-Stein inequality for the martingale square and maximal functions
• Canonical RDEs and general semimartingales as rough paths
• Jump inequalities via real interpolation
• On the integrability of the martingale square function
• Analysis in Banach Spaces
• Paraproducts and Commutators of Martingale Transforms
• Martingale Transforms with Unbounded Multipliers
• Martingale Transforms
• La variation d'ordre p des semi-martingales
• Bellman functions and $L^p$ estimates for paraproducts
• A Decomposition for $L^1$-Bounded Martingales
• Some Maximal Inequalities
• A course on rough paths. With an introduction to regularity structures

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