WEIGHTED INEQUALITIES FOR MARTINGALE TRANSFORMS AND STOCHASTIC INTEGRALS

DOI10.1112/S0025579316000322zbMath1374.60079OpenAlexW2589990261MaRDI QIDQ5361212

Adam Osȩkowski

Publication date: 27 September 2017

Published in: Mathematika (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1112/s0025579316000322

Mathematics Subject Classification ID

Spaces of measurable functions ((L^p)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.) (46E30) Maximal functions, Littlewood-Paley theory (42B25) Martingales with continuous parameter (60G44)

Related Items (4)

New martingale inequalities and applications to Fourier analysis ⋮ Weighted weak-type inequalities for square functions ⋮ Martingale transforms on Banach function spaces ⋮ Unnamed Item

Cites Work

• Unnamed Item
• On Muckenhoupt-Wheeden conjecture
• Boundary value problems and sharp inequalities for martingale transforms
• The Skorokhod embedding problem and its offspring
• \(A_1\) bounds for Calderón-Zygmund operators related to a problem of Muckenhoupt and Wheeden
• Weighted norm inequalities for martingales
• Continuous exponential martingales and BMO
• A sharp estimate for the weighted Hilbert transform via Bellman functions.
• The Hilbert transform does not map \(L^1(M\omega)\) to \(L^{1,\infty}(\omega)\)
• Sharp results in the integral-form John–Nirenberg inequality
• Sharp Martingale and Semimartingale Inequalities
• Sharp A1 Bounds for Calderón-Zygmund Operators and the Relationship with a Problem of Muckenhoupt and Wheeden
• The Bellman functions and two-weight inequalities for Haar multipliers
• Estimates for Operator Norms on Weighted Spaces and Reverse Jensen Inequalities
• Monge--Amp\`ere equation and Bellman optimization of Carleson Embedding Theorems
• Some Maximal Inequalities

This page was built for publication: WEIGHTED INEQUALITIES FOR MARTINGALE TRANSFORMS AND STOCHASTIC INTEGRALS