The UMD Property for Musielak–Orlicz Spaces

DOI10.1007/978-3-030-10850-2_19zbMath1454.46016arXiv1810.13362OpenAlexW2985843085MaRDI QIDQ5110407

Nick Lindemulder, Mark C. Veraar, Ivan S. Yaroslavtsev

Publication date: 19 May 2020

Published in: Trends in Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1810.13362

zbMATH Keywords

Musielak-Orlicz spacesvariable exponent Lebesgue spacesvector-valued martingalesUMDYoung functionsvariable exponent \(L^p\)-spaces

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) Singular and oscillatory integrals (Calderón-Zygmund, etc.) (42B20) Probabilistic methods in Banach space theory (46B09)

Related Items (8)

Sparse domination implies vector-valued sparse domination ⋮ Extrapolation to mixed norm spaces and applications ⋮ Dual spaces for martingale Musielak-Orlicz Lorentz Hardy spaces ⋮ Pointwise multiplication by the characteristic function of the half-space on anisotropic vector-valued function spaces ⋮ Doob's maximal inequality and Burkholder-Davis-Gundy's inequality on Musielak-Orlicz spaces ⋮ Local characteristics and tangency of vector-valued martingales ⋮ Martingale Musielak-Orlicz-Lorentz Hardy spaces with applications to dyadic Fourier analysis ⋮ Burkholder-Davis-Gundy inequalities in UMD Banach spaces

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