Sharp estimates in vector Carleson imbedding theorem and for vector paraproducts

DOI10.1515/crll.2002.004zbMath0983.42006OpenAlexW1996040252MaRDI QIDQ2769336

F. L. Nazarov, Gilles Pisier, Alexander Volberg, S. R. Treil'

Publication date: 5 February 2002

Published in: Journal für die reine und angewandte Mathematik (Crelles Journal) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/crll.2002.004

zbMATH Keywords

Hilbert transformCarleson measuresHankel operatorsvector-valuedparaproduct operators\(H^1\) multipliersdimensional estimatesnoncommutative weighted estimates of Calderón-Zygmund operatorsoperator valuedunweighted caseweighted case

Mathematics Subject Classification ID

Singular and oscillatory integrals (Calderón-Zygmund, etc.) (42B20) Toeplitz operators, Hankel operators, Wiener-Hopf operators (47B35) Conjugate functions, conjugate series, singular integrals (42A50)

Related Items (24)

Bounded mean oscillation on the bidisk and the operator BMO ⋮ Characterizations of \(A_{2}\) matrix power weights ⋮ Characterization of a two-parameter matrix valued BMO by commutator with the Hilbert transform ⋮ A study of the matrix Carleson embedding theorem with applications to sparse operators ⋮ The necessity theory for commutators of multilinear singular integral operators: the weighted case ⋮ Bounds for the Hilbert transform with matrix \(A_{2}\) weights ⋮ Embeddings of vector-valued Bergman spaces ⋮ An operator-valued \(T(1)\) theorem for symmetric singular integrals in UMD spaces ⋮ BMO spaces associated with semigroups of operators ⋮ Smooth Fourier multipliers on group von Neumann algebras ⋮ Commutators in the two-weight setting ⋮ Vectorial Hankel operators, Carleson embeddings, and notions of BMOA ⋮ Asymptotic properties of the vector Carleson embedding theorem ⋮ A matrix weighted bilinear Carleson lemma and maximal function ⋮ Paraproducts and Hankel operators of Schatten class via \(p\)-John--Nirenberg theorem ⋮ An operator-valued \(Tb\) theorem ⋮ Hardy spaces of operator-valued analytic functions ⋮ Weighted interpolation in Paley-Wiener spaces and finite-time controllability ⋮ An operator-valued \(T1\) theory for symmetric CZOs ⋮ Embeddings between operator-valued dyadic BMO spaces ⋮ Pseudo-localization of singular integrals and noncommutative Calderón-Zygmund theory ⋮ Paley's inequality for discrete groups ⋮ Failure of the matrix weighted bilinear Carleson embedding theorem ⋮ A remark on the reproducing kernel thesis for Hankel operators

Cites Work

• Counterexample to the infinite dimensional carleson embedding theorem
• Bounded Analytic Functions
• Unnamed Item

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