Spectral Multipliers, Bochner–Riesz Means and Uniform Sobolev Inequalities for Elliptic Operators

DOI10.1093/imrn/rnw323zbMath1407.35006arXiv1506.04883OpenAlexW2963297860MaRDI QIDQ4619383

Li Xin Yan, Xiao Hua Yao, Adam S. Sikora

Publication date: 6 February 2019

Published in: International Mathematics Research Notices (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1506.04883

zbMATH Keywords

Schrödinger operatorsabstract self-adjoint operatorsconstant coefficients higher order elliptic operators

Mathematics Subject Classification ID

Higher-order elliptic equations (35J30) Inequalities applied to PDEs involving derivatives, differential and integral operators, or integrals (35A23)

Related Items (12)

Decay estimates for bi-Schrödinger operators in dimension one ⋮ Bilinear square spectral multipliers on stratified groups ⋮ Remarks on \(L^{p}\)-limiting absorption principle of Schrödinger operators and applications to spectral multiplier theorems ⋮ Decay estimates for fourth-order Schrödinger operators in dimension two ⋮ Strichartz estimates for equations with structured Lipschitz coefficients ⋮ Bounds on the maximal Bochner-Riesz means for elliptic operators ⋮ Spectral multipliers and wave propagation for Hamiltonians with a scalar potential ⋮ Kato smoothing, Strichartz and uniform Sobolev estimates for fractional operators with sharp Hardy potentials ⋮ \(L^p\)-boundedness of Stein's square functions associated with Fourier-Bessel expansions ⋮ Decay estimates for higher-order elliptic operators ⋮ Endpoint uniform Sobolev inequalities for elliptic operators with applications ⋮ A spectral multiplier theorem for Hardy spaces associated with Schrödinger operator on the Heisenberg group

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