Sharp \(L^p\) estimates for Schrödinger groups
From MaRDI portal
Publication:346661
DOI10.4171/RMI/907zbMath1353.42009arXiv1409.6853OpenAlexW319034312MaRDI QIDQ346661
Publication date: 29 November 2016
Published in: Revista Matemática Iberoamericana (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1409.6853
Spectral theory and eigenvalue problems for partial differential equations (35P99) Multipliers for harmonic analysis in several variables (42B15) Harmonic analysis and PDEs (42B37)
Related Items (16)
Convergence in \(L^{p}\) for Feynman path integrals ⋮ Spectral multiplier theorem and sub-Gaussian heat kernel estimates ⋮ On boundedness of oscillating multipliers on stratified Lie groups ⋮ Sharp estimates for Schrödinger groups on Hardy spaces for \(0<p\leq 1\) ⋮ \(L^{p}\) estimates for fractional Schrödinger operators with Kato class potentials ⋮ Sharp \(L^p\) estimates for Schrödinger groups on spaces of homogeneous type ⋮ Inhomogeneous oscillatory integrals and global smoothing effects for dispersive equations ⋮ Estimates for evolutionary partial differential equations in classical function spaces ⋮ Sharp endpoint estimates for Schrödinger groups on Hardy spaces ⋮ Maximal speed of quantum propagation for the Hartree equation ⋮ On sharp estimates for Schrödinger groups of fractional powers of nonnegative self-adjoint operators ⋮ Weak type \((1,1)\) bounds for Schrödinger groups ⋮ Sharp endpoint \(L^p\) estimates for Schrödinger groups ⋮ Spectral multipliers without semigroup framework and application to random walks ⋮ Weak type \((p,p)\) bounds for Schrödinger groups via generalized Gaussian estimates ⋮ The Schrödinger equation in \(L^p\) spaces for operators with heat kernel satisfying Poisson type bounds
Cites Work
- Unnamed Item
- Unnamed Item
- Schrödinger equations with rough Hamiltonians
- Weighted \(L^p\) estimates for powers of selfadjoint operators
- Endpoint Strichartz estimates for the magnetic Schrödinger equation
- Time-frequency analysis of Fourier integral operators
- On the boundedness of Fourier integral operators on \(L^p(\mathbb R^n)\)
- Weighted norm estimates and maximal regularity.
- Plancherel-type estimates and sharp spectral multipliers
- Uniformly elliptic operators with measurable coefficients
- Gaussian estimates and \(L^p\)-boundedness of Riesz means
- On the wave equation with a large rough potential
- Global and local regularity of Fourier integral operators on weighted and unweighted spaces
- Generalized Gaussian estimates and riesz means of Schrödinger groups
- Boundedness of Fourier Integral Operators on $\mathcal {F}L^p$ spaces
This page was built for publication: Sharp \(L^p\) estimates for Schrödinger groups
