Remarks on \(L^{p}\)-limiting absorption principle of Schrödinger operators and applications to spectral multiplier theorems

DOI10.1515/forum-2016-0162zbMath1381.42025arXiv1607.02752OpenAlexW2964058138MaRDI QIDQ1689393

Shanlin Huang, Quan Zheng, Xiao Hua Yao

Publication date: 12 January 2018

Published in: Forum Mathematicum (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1607.02752

zbMATH Keywords

Bochner-Riesz operatorsuniform resolvent estimatesHörmander-type spectral multiplier

Mathematics Subject Classification ID

Singular and oscillatory integrals (Calderón-Zygmund, etc.) (42B20) Linear higher-order PDEs (35G05) Harmonic analysis and PDEs (42B37)

Related Items (13)

\(L^{p}\) estimates for fractional Schrödinger operators with Kato class potentials ⋮ Resolvent estimates for time-harmonic Maxwell's equations in the partially anisotropic case ⋮ Uniform complex time heat kernel estimates without Gaussian bounds ⋮ A limiting absorption principle for high-order Schrödinger operators in critical spaces ⋮ The Scattering Resonances for Schrödinger-Type Operators with Unbounded Potentials ⋮ Counterexample to the Laptev-Safronov conjecture ⋮ Uniform Sobolev estimates for Schrödinger operators with scaling-critical potentials and applications ⋮ Limiting absorption principle on L p-spaces and scattering theory ⋮ A limiting absorption principle for Helmholtz systems and time-harmonic isotropic Maxwell's equations ⋮ Sharp resolvent estimates outside of the uniform boundedness range ⋮ Kato smoothing, Strichartz and uniform Sobolev estimates for fractional operators with sharp Hardy potentials ⋮ Endpoint uniform Sobolev inequalities for elliptic operators with applications ⋮ Variational methods for breather solutions of nonlinear wave equations

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