Square function inequalities for monotone bases in \(L^{1}\)

DOI10.1215/17358787-2018-0004zbMath1412.46024OpenAlexW2808070942MaRDI QIDQ1790176

Adam Osȩkowski

Publication date: 2 October 2018

Published in: Banach Journal of Mathematical Analysis (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.bjma/1529114493

zbMATH Keywords

Haar systemcontractive projectionsquare functionmonotone basis

Mathematics Subject Classification ID

Classical Banach spaces in the general theory (46B25) Summability and bases; functional analytic aspects of frames in Banach and Hilbert spaces (46B15)

Cites Work

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• Boundary value problems and sharp inequalities for martingale transforms
• Monotone bases in \(L_p\)
• Contractive projections in \(L_ p\)-spaces
• The best constant in the Davis inequality for the expectation of the martingale square function
• Two Inequalities for the First Moments of a Martingale, its Square Function and its Maximal Function
• A proof of Pełczyński's conjecture for the Haar system
• A Sharp Inequality for Martingale Transforms and the Unconditional Basis Constant of a Monotone Basis in L p (0, 1)
• Martingale Transforms
• A Remarkable Series of Orthogonal Functions (I)

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