Sharp \(L^p\) estimates for Schrödinger groups on spaces of homogeneous type
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Publication:2177529
DOI10.4171/rmi/1136zbMath1448.35352arXiv1612.01267OpenAlexW2996425069MaRDI QIDQ2177529
Piero D'Nncona, Fabio Nicola, The Anh Bui
Publication date: 6 May 2020
Published in: Revista Matemática Iberoamericana (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1612.01267
Asymptotic behavior of solutions to PDEs (35B40) Scattering theory for PDEs (35P25) Multipliers for harmonic analysis in several variables (42B15) Time-dependent Schrödinger equations and Dirac equations (35Q41) Heat kernel (35K08)
Related Items (12)
Spectral multiplier theorem and sub-Gaussian heat kernel estimates ⋮ On boundedness of oscillating multipliers on stratified Lie groups ⋮ Hardy spaces associated with ball quasi-Banach function spaces on spaces of homogeneous type: Littlewood-Paley characterizations with applications to boundedness of Calderón-Zygmund operators ⋮ Hardy spaces associated with ball quasi‐Banach function spaces on spaces of homogeneous type: Characterizations of maximal functions, decompositions, and dual spaces ⋮ Sharp endpoint estimates for Schrödinger groups on Hardy spaces ⋮ 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 ⋮ Wavelet characterization of Triebel-Lizorkin spaces for \(p = \infty\) on spaces of homogeneous type and its applications
Cites Work
- Fourth-order Schrödinger type operator with singular potentials
- Scattering in the energy space for the NLS with variable coefficients
- Sharp \(L^p\) estimates for Schrödinger groups
- Weighted \(L^p\) estimates for powers of selfadjoint operators
- Weighted estimates for powers and smoothing estimates of Schrödinger operators with inverse-square potentials
- Endpoint Strichartz estimates for the magnetic Schrödinger equation
- Heat kernel estimates for the Dirichlet fractional Laplacian
- On the parabolic kernel of the Schrödinger operator
- Regularity properties of Fourier integral operators
- Besov spaces and applications to difference methods for initial value problems
- On the \(L_{p}\)-theory of \(C_{0}\)-semigroups associated with second-order elliptic operators. II
- Plancherel-type estimates and sharp spectral multipliers
- \(L^p\) estimates for the wave equation with the inverse-square potential
- Estimates of integral kernels for semigroups associated with second-order elliptic operators with singular coefficients
- Global heat kernel bounds via desingularizing weights
- \(L^ p\)-mapping properties of functions of Schrödinger operators and their applications to scattering theory
- Riesz transforms of Schrödinger operators on manifolds
- Riesz transform for \(1\leq p \leq 2\) without Gaussian heat kernel bound
- On the wave equation with a large rough potential
- Schrödinger semigroups
- Extensions of Hardy spaces and their use in analysis
- Low regularity semi—linear wave equations1
- A T(b) theorem with remarks on analytic capacity and the Cauchy integral
- A multiplier theorem for Schrödinger operators
- Hardy Spaces on Homogeneous Groups. (MN-28), Volume 28
- Manifolds and graphs with slow heat kernel decay
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