\(L^p\) estimates for the Schrödinger type operators

DOI10.1007/s11766-011-2678-6zbMath1265.35055OpenAlexW2124104860MaRDI QIDQ453358

Yu Liu, Ji Zheng Huang

Publication date: 5 October 2012

Published in: Applied Mathematics. Series B (English Edition) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11766-011-2678-6

zbMATH Keywords

Schrödinger operatorreverse Hölder class\(L^p\) estimate

Mathematics Subject Classification ID

Singular and oscillatory integrals (Calderón-Zygmund, etc.) (42B20) Schrödinger operator, Schrödinger equation (35J10)

Related Items (9)

\(L^p\) estimates for Riesz transform and their commutators associated with Schrödinger type operator ⋮ Higher-order parabolic Schrödinger operators on Lebesgue spaces ⋮ Characterizations of product Hardy space associated to Schrödinger operators ⋮ Estimates for the Riesz transforms associated with Schrödinger type operators ⋮ <i>L</i>^<i>p</i> Boundedness of Higher Order Schrödinger Type Operators ⋮ Estimates of the fundamental solution for higher order Schrödinger type operators and their applications ⋮ Global weighted estimates for higher order Schrödinger operators with discontinuous coefficients ⋮ Coincidence of weighted Hardy spaces associated with higher-order Schrödinger operators ⋮ A Calderón-Zygmund operator of higher order Schrödinger type

Cites Work

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• Some estimates of higher order Riesz transform related to Schrödinger type operators
• Some new properties of biharmonic heat kernels
• Parametrix construction for a class of subelliptic differential operators
• \(L^ p\) estimates for Schrödinger operators with certain potentials
• Long time asymptotics of fourth order parabolic equations
• Sobolev spaces related to Schrödinger operators with polynomial potentials
• \(L^p\) estimates for some Schrödinger type operators and a Calderón-Zygmund operator of Schrödinger type
• Virtual eigenvalues of the high order Schrödinger operator. I
• Virtual eigenvalues of the high order Schrödinger operator. II
• Higher-order Kato class potentials for Schrödinger operators

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