A note on sharp one-sided bounds for the Hilbert transform

DOI10.1090/proc/12773zbMath1337.30053arXiv1411.4551OpenAlexW2075614265MaRDI QIDQ2790193

Michał Strzelecki

Publication date: 3 March 2016

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1411.4551

zbMATH Keywords

Hilbert transform

Mathematics Subject Classification ID

Integration, integrals of Cauchy type, integral representations of analytic functions in the complex plane (30E20) Boundary value problems in the complex plane (30E25)

Cites Work

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• Boundary value problems and sharp inequalities for martingale transforms
• Survey article: Bellman function method and sharp inequalities for martingales
• A sharp weak type $(p,p)$ inequality $(p>2)$ for martingale transforms and other subordinate martingales
• Some Sharp Inequalities for Martingale Transforms
• A sharp one-sided bound for the Hilbert transform

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