The vector-valued nonhomogeneous Tb Theorem

DOI10.1093/imrn/rns222zbMath1305.42015arXiv0809.3097OpenAlexW2160954306MaRDI QIDQ2878692

Tuomas P. Hytönen

Publication date: 5 September 2014

Published in: International Mathematics Research Notices (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0809.3097

zbMATH Keywords

Calderón-Zygmund operatorTb theoremBochner spaceRademacher-Calderón-Zygmund operatorunconditionality property of martingale differences

Mathematics Subject Classification ID

Singular and oscillatory integrals (Calderón-Zygmund, etc.) (42B20) Harmonic analysis on homogeneous spaces (43A85) Measures and integration on abstract linear spaces (46G12)

Related Items (18)

Representation of singular integrals by dyadic operators, and the \(A_2\) theorem ⋮ Sparse domination implies vector-valued sparse domination ⋮ Operator-valued dyadic shifts and the \(T(1)\) theorem ⋮ Dyadic-probabilistic methods in bilinear analysis ⋮ Multilinear operator-valued Calderón-Zygmund theory ⋮ Spectral multiplier theorems for abstract harmonic oscillators on UMD lattices ⋮ The sharp weighted bound for general Calderón-Zygmund operators ⋮ Multilinear singular integrals on non-commutative \(L^p\) spaces ⋮ Dyadic harmonic analysis beyond doubling measures ⋮ Banach-valued multilinear singular integrals ⋮ Non-homogeneous \( T1\) theorem for bi-parameter singular integrals ⋮ A non-homogeneous local Tb theorem for Littlewood-Paley \(g^*_{\lambda}\)-function with \(L^{p}\)-testing condition ⋮ Bi-parameter Littlewood-Paley operators with upper doubling measures ⋮ Maximal regularity for non-autonomous equations with measurable dependence on time ⋮ Pseudo-localisation of singular integrals in \(L^p\) ⋮ Non-homogeneous \(T_b\) theorem for bi-parameter \(g\)-function ⋮ On pointwise \(\ell^r\)-sparse domination in a space of homogeneous type ⋮ On general local $Tb$ theorems

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