Estimates of the fundamental solution for magnetic Schrödinger operators and their applications

DOI10.2748/tmj/1178207819zbMath0967.35035OpenAlexW2095550198MaRDI QIDQ1594909

Satoko Sugano, Kazuhiro Kurata

Publication date: 8 May 2001

Published in: Tôhoku Mathematical Journal. Second Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2748/tmj/1178207819

zbMATH Keywords

reverse Hölder classCalderón-Zygmund operator

Mathematics Subject Classification ID

Singular and oscillatory integrals (Calderón-Zygmund, etc.) (42B20) A priori estimates in context of PDEs (35B45) Schrödinger operator, Schrödinger equation (35J10) Fundamental solutions to PDEs and systems of PDEs with constant coefficients (35E05)

Related Items (10)

\(L^p\) estimates for Riesz transform and their commutators associated with Schrödinger type operator ⋮ On boundedness property of singular integral operators associated to a Schrödinger operator in a generalized Morrey space and applications ⋮ Estimates for second-order Riesz transforms associated with magnetic Schrödinger operators on Musielak-Orlicz-Hardy spaces ⋮ Solvability for Schrödinger equations with discontinuous coefficients ⋮ <i>L</i>^<i>p</i> Boundedness of Higher Order Schrödinger Type Operators ⋮ Commutators of higher order Riesz transform associated with Schrödinger operators ⋮ Estimates of the fundamental solution for higher order Schrödinger type operators and their applications ⋮ \(L^p\) estimates for some Schrödinger type operators and a Calderón-Zygmund operator of Schrödinger type ⋮ Boundedness of second-order Riesz transforms on weighted Hardy and \(BMO\) spaces associated with Schrödinger operators ⋮ A Calderón-Zygmund operator of higher order Schrödinger type

Cites Work

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• \(L^ p\) estimates for Schrödinger operators with certain potentials
• The uncertainty principle
• Estimates in L^p for magnetic Schrodinger operators
• A Remark on Estimates for Uniformly Elliptic Operators on WeightedLp Spaces and Morrey Spaces
• Schrödinger operators with singular magnetic vector potentials

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