On fundamental solutions of generalized Schrödinger operators

DOI10.1006/jfan.1999.3455zbMath0936.35051OpenAlexW2168844446MaRDI QIDQ1807754

Zhongwei Shen

Publication date: 19 December 1999

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://semanticscholar.org/paper/0aafc6b83257ddb35f55078851ed0491943a5be2

zbMATH Keywords

Agmon metricgeneralized Riesz transformestimates for fundamental solutionsSchrödinger operator with measure as potential

Mathematics Subject Classification ID

Partial functional-differential equations (35R10) PDEs in connection with quantum mechanics (35Q40) Schrödinger operator, Schrödinger equation (35J10)

Related Items (39)

Heat kernels, upper bounds and Hardy spaces associated to the generalized Schrödinger operators ⋮ One-parameter families of operators in \(\mathbb C\) ⋮ End point estimate of Littlewood-Paley operator associated to the generalized Schrödinger operator ⋮ Dirichlet problem for Schrödinger equation with the boundary value in the BMO space ⋮ Duality of Hardy and BMO spaces associated with operators with heat kernel bounds ⋮ Heat equations in \(\mathbb {R} \times \mathbb {C}\) ⋮ Pointwise estimates for relative fundamental solutions of heat equations in \({\mathbb{R} \times \mathbb{C}}\) ⋮ Pointwise estimates of weighted Bergman kernels in several complex variables ⋮ Two weighted inequalities for operators associated to a critical radius function ⋮ Spectral asymptotics for generalized Schrödinger operators ⋮ Solvability for Schrödinger equations with discontinuous coefficients ⋮ Local potential operator and uniform resolvent estimate for generalized Schrödinger operator in Orlicz spaces ⋮ Characterization of temperatures associated to Schrödinger operators with initial data in BMO spaces ⋮ Variation and oscillation operators on weighted Morrey–Campanato spaces in the Schrödinger setting ⋮ Quantitative weighted bounds for Littlewood-Paley functions generated by fractional heat semigroups related with Schrödinger operators ⋮ Generalized Schrödinger operators on the Heisenberg group and Hardy spaces ⋮ Gradient estimates and the fundamental solution for higher-order elliptic systems with lower-order terms ⋮ Counting eigenvalues of Schrödinger operators using the landscape function ⋮ Coercivity of weighted Kohn Laplacians: The case of model monomial weights in ℂ² ⋮ Second-order regularity estimates for singular Schrödinger equations on convex domains ⋮ On characterization of Poisson integrals of Schrödinger operators with BMO traces ⋮ Unboundedness of potential dependent Riesz transforms for totally irregular measures ⋮ \(L^p\) estimates for some Schrödinger type operators and a Calderón-Zygmund operator of Schrödinger type ⋮ A two weight inequality for Calderón-Zygmund operators on spaces of homogeneous type with applications ⋮ On characterization of Poisson integrals of Schrödinger operators with Morrey traces ⋮ Second order elliptic partial differential equations driven by Lévy white noise ⋮ Regularities of semigroups, Carleson measures and the characterizations of BMO-type spaces associated with generalized Schrödinger operators ⋮ Carleson measures for the generalized Schrödinger operator ⋮ The quantizing effect of potentials on the critical number of reaction-diffusion equations ⋮ Boundedness of Littlewood-Paley operators associated with Gauss measures ⋮ Weights of exponential growth and decay for Schrödinger-type operators ⋮ \( \mathrm{H}^\mathrm{p}\) spaces for generalized Schrödinger operators and applications ⋮ Bilinear operators associated with generalized Schrödinger operators ⋮ \(L^p\) mapping properties for nonlocal Schrödinger operators with certain potentials ⋮ BMO-type estimates of Riesz transforms associated with generalized Schrödinger operators ⋮ Riesz transforms on the Hardy space associated with generalized Schrödinger operators ⋮ Exponential decay estimates for fundamental solutions of Schrödinger-type operators ⋮ The duality between Morrey spaces and its pre-dual spaces characterized by heat kernel ⋮ Unnamed Item

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