Weighted boundedness of multilinear operators associated to Riesz transforms of Schrödinger operator for the extreme cases

DOI10.1007/S11868-013-0072-2zbMath1304.42040OpenAlexW2014764915MaRDI QIDQ2251490

Lanzhe Liu

Publication date: 14 July 2014

Published in: Journal of Pseudo-Differential Operators and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11868-013-0072-2

zbMATH Keywords

Schrödinger operatorBMO spacemultilinear operatorRiesz transform

Mathematics Subject Classification ID

Singular and oscillatory integrals (Calderón-Zygmund, etc.) (42B20) Maximal functions, Littlewood-Paley theory (42B25) Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type (42B10)

Related Items (1)

Weighted Hardy type spaces estimates of multilinear singular integral operators for the extreme cases

Cites Work

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• Enlarged major arcs in additive problems
• A BMO estimate for multilinear singular integrals
• Factorization theorems for Hardy spaces in several variables
• Boundedness of commutators of fractional and singular integrals for the extreme values of \(p\)
• \(L^ p\) estimates for Schrödinger operators with certain potentials
• \(L^p\) boundedness of commutators of Riesz transforms associated to Schrödinger operator
• Weighted boundedness of multilinear operators for the extreme cases
• SHARP WEIGHTED ESTIMATES FOR MULTILINEAR COMMUTATORS
• On multilinear singular integrals on $R^{n}$
• Sharp weighted endpoint estimates for commutators of singular integrals

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