Operator-valued dyadic shifts and the \(T(1)\) theorem

DOI10.1007/S00605-016-0891-3zbMath1345.42013arXiv1412.0470OpenAlexW3121437129MaRDI QIDQ293064

Timo S. Hänninen, Tuomas P. Hytönen

Publication date: 9 June 2016

Published in: Monatshefte für Mathematik (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1412.0470

zbMATH Keywords

Calderón-Zygmund operatorsmartingale differencesparaproducts\(T1\) theoremdyadic representationoperator-valued dyadic shiftsUMD space

Mathematics Subject Classification ID

Martingales with discrete parameter (60G42) Singular and oscillatory integrals (Calderón-Zygmund, etc.) (42B20) Spaces of vector- and operator-valued functions (46E40) Martingales and classical analysis (60G46)

Related Items (9)

UMD-extensions of Calderón-Zygmund operators with mild kernel regularity ⋮ Two-weight \(L^p\)-\(L^q\) bounds for positive dyadic operators: unified approach to \(p \leq q\) and \(p>q\) ⋮ Bounds for Calderón-Zygmund operators with matrix \(A_{2}\) weights ⋮ Multilinear operator-valued Calderón-Zygmund theory ⋮ Multilinear singular integrals on non-commutative \(L^p\) spaces ⋮ Banach-valued multilinear singular integrals ⋮ An operator-valued \(T(1)\) theorem for symmetric singular integrals in UMD spaces ⋮ Bilinear representation theorem ⋮ Two-weight inequality for operator-valued positive dyadic operators by parallel stopping cubes

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