Generalized Gaussian estimates and riesz means of Schrödinger groups

DOI10.1017/S1446788700016001zbMath1116.43002OpenAlexW2088198654MaRDI QIDQ3441485

Sönke Blunck

Publication date: 30 May 2007

Published in: Journal of the Australian Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s1446788700016001

zbMATH Keywords

Gaussian estimatesSchrödinger groupselfadjoint semigroups

Mathematics Subject Classification ID

Functional calculus for linear operators (47A60) (L^p)-spaces and other function spaces on groups, semigroups, etc. (43A15)

Related Items (13)

Convergence in \(L^{p}\) for Feynman path integrals ⋮ On complex-time heat kernels of fractional Schrödinger operators via Phragmén-Lindelöf principle ⋮ Spectral multiplier theorems via \(H^\infty\) calculus and \(R\)-bounds ⋮ Sharp \(L^p\) estimates for Schrödinger groups ⋮ Unnamed Item ⋮ Sharp endpoint estimates for Schrödinger groups on Hardy spaces ⋮ Weak type \((1,1)\) bounds for Schrödinger groups ⋮ Sharp endpoint \(L^p\) estimates for Schrödinger groups ⋮ HARDY SPACES ON METRIC MEASURE SPACES WITH GENERALIZED SUB-GAUSSIAN HEAT KERNEL ESTIMATES ⋮ Pseudodifferential operators associated with a semigroup of operators ⋮ Weak type \((p,p)\) bounds for Schrödinger groups via generalized Gaussian estimates ⋮ On maximal regularity of type \(L^p-L^q\) under minimal assumptions for elliptic non-divergence operators ⋮ Hörmander functional calculus on UMD lattice valued \(L^p\) spaces under generalized Gaussian estimates

Cites Work

• Limits on \(L^ p\) regularity of self-adjoint elliptic operators
• Estimates for translation invariant operators in \(L^p\) spaces
• Weak type \((p,p)\) estimates for Riesz transforms
• On the \(L_{p}\)-theory of \(C_{0}\)-semigroups associated with second-order elliptic operators. II
• Plancherel-type estimates and sharp spectral multipliers
• \(L^p\) bounds for Riesz transforms and square roots associated to second order elliptic operators
• Calderón-Zygmund theory for non-integral operators and the \(H^\infty\) functional calculus
• Uniformly elliptic operators with measurable coefficients
• Gaussian estimates and \(L^p\)-boundedness of Riesz means
• Integrated semigroups, C-semigroups and the abstract Cauchy problem
• Boundary Values of Holomorphic Semigroups
• Boundary values of holomorphic semigroups
• Gaussian Estimates and Holomorphy of Semigroups

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