On the UMD constants for a class of iterated \(L_p(L_q)\) spaces

DOI10.1016/j.jfa.2012.07.008zbMath1260.46006arXiv1112.0739OpenAlexW2547806716MaRDI QIDQ1760163

Yanqi Qiu

Publication date: 13 November 2012

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1112.0739

zbMATH Keywords

Banach latticessuper-reflexive spacesUMD propertyanalytic UMD propertyiterated \(L_p (L_q)\) 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) Banach lattices (46B42) Probabilistic methods in Banach space theory (46B09)

Related Items

On conditional expectations in \(L^p(\mu ;L^q(\nu ;X))\) ⋮ A Decomposition for Hardy Martingales III ⋮ RETRACTED ARTICLE: Conditional expectations in \(L^p(\mu ;L^q(\nu ;X))\) ⋮ Decoupling on the Wiener Space, Related Besov Spaces, and Applications to BSDEs ⋮ Heat flow and quantitative differentiation ⋮ Quantitative affine approximation for UMD targets ⋮ Banach-valued modulation invariant Carleson embeddings and outer-\(L^p\) spaces: the Walsh case ⋮ On Pisier’s inequality for UMD targets

Cites Work

• Some remarks on Banach spaces in which martingale difference sequences are unconditional
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• On Martingales Transforms in Finite Dimensional Lattices with an Appendix on theK-Convexity Constant
• Unconditional bases and martingales in L_P(F)
• On martingales with values in a complex Banach space
• Intermediate spaces and interpolation, the complex method
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