On strongly orthogonal martingales in UMD Banach spaces

DOI10.37190/0208-4147.41.1.10zbMath1495.60032arXiv1812.08049OpenAlexW3181718730MaRDI QIDQ5013239

Publication date: 29 November 2021

Published in: Probability and Mathematical Statistics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1812.08049

zbMATH Keywords

Hilbert transform sharp estimates martingale transform UMD weak differential subordination decoupling constant diagonally plurisubharmonic function strongly orthogonal martingales

Mathematics Subject Classification ID

Multipliers for harmonic analysis in several variables (42B15) Martingales with continuous parameter (60G44) Stochastic integrals (60H05) Martingales and classical analysis (60G46)

Cites Work

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Cylindrical continuous martingales and stochastic integration in infinite dimensions
Orthogonal martingales under differential subordination and applications to Riesz transforms
Boundary value problems and sharp inequalities for martingale transforms
Some remarks on Banach spaces in which martingale difference sequences are unconditional
Lévy processes and Fourier multipliers
Strong differential subordination and sharp inequalities for orthogonal processes
Even Fourier multipliers and martingale transforms in infinite dimensions
Differential subordination and strong differential subordination for continuous-time martingales and related sharp inequalities
On decoupling in Banach spaces
On the martingale decompositions of Gundy, Meyer, and Yoeurp in infinite dimensions
Stochastic integration in UMD Banach spaces
Martingale decompositions and weak differential subordination in UMD Banach spaces
Martingales in Banach Spaces
Analysis in Banach Spaces
Martingales and sharp bounds for Fourier multipliers
Fourier multipliers for non-symmetric Lévy processes
Randomized UMD Banach spaces and decoupling inequalities for stochastic integrals
On Martingales Transforms in Finite Dimensional Lattices with an Appendix on theK-Convexity Constant
A counterexample concerning the relation between decoupling constants and UMD-constants
Best constants for some operators associated with the Fourier and Hilbert transforms
Fourier multipliers and weak differential subordination of martingales in UMD Banach spaces
On singular integral and martingale transforms
Continuous local martingales and stochastic integration in UMD Banach spaces

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