A counterexample concerning the relation between decoupling constants and UMD-constants

DOI10.1090/S0002-9947-99-02093-0zbMath0910.46007OpenAlexW1525492371WikidataQ124816697 ScholiaQ124816697MaRDI QIDQ4226676

Stefan Geiss

Publication date: 27 January 1999

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

Full work available at URL: https://doi.org/10.1090/s0002-9947-99-02093-0

zbMATH Keywords

vector valued martingalesinterpolation of Banach spacesHaar functionssuperreflexive Banach spacesfinite tree propertyunconditional constantslower 2-estimates of sums of martingale differencesUMD-constants

Mathematics Subject Classification ID

Martingales with discrete parameter (60G42) Local theory of Banach spaces (46B07) Interpolation between normed linear spaces (46B70) Abstract interpolation of topological vector spaces (46M35) Probability theory on linear topological spaces (60B11)

Related Items (8)

The Hilbert Transform and Orthogonal Martingales in Banach Spaces ⋮ Euclidean Structures and Operator Theory in Banach Spaces ⋮ Local characteristics and tangency of vector-valued martingales ⋮ Burkholder-Davis-Gundy inequalities in UMD Banach spaces ⋮ On singular integral and martingale transforms ⋮ Quantitative affine approximation for UMD targets ⋮ Randomized UMD Banach spaces and decoupling inequalities for stochastic integrals ⋮ On strongly orthogonal martingales in UMD Banach spaces

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