Doob's maximal inequalities for martingales in variable Lebesgue space

DOI10.1007/S10473-021-0116-2OpenAlexW3114339029MaRDI QIDQ2154745

Yanyan Li

Publication date: 14 July 2022

Published in: Acta Mathematica Scientia. Series B. (English Edition) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10473-021-0116-2

zbMATH Keywords

Doob's maximal inequalitynorm convergencevariable Lebesgue spacemartingale inequality

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) Martingales and classical analysis (60G46)

Related Items (1)

Martingale transforms on Banach function spaces

Cites Work

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• Burkholder-Gundy-Davis inequality in martingale Hardy spaces with variable exponent
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• Variable Hardy Spaces
• Variable martingale Hardy spaces and their applications in Fourier analysis
• On the spaces \(L^{p(x)}(\Omega)\) and \(W^{m,p(x)}(\Omega)\)

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