On characterization of Poisson integrals of Schrödinger operators with BMO traces

DOI10.1016/j.jfa.2013.09.008zbMath1292.35099arXiv1306.0319OpenAlexW2963027246MaRDI QIDQ2452476

Chao Zhang, Xuan Thinh Duong, Li Xin Yan

Publication date: 3 June 2014

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

Full work available at URL: https://arxiv.org/abs/1306.0319

zbMATH Keywords

Dirichlet problemLipschitz spaceSchrödinger operatorsreverse Hölder inequalityCarleson measureBMO spacePoisson integrals

Mathematics Subject Classification ID

Function spaces arising in harmonic analysis (42B35) Schrödinger operator, Schrödinger equation (35J10) Harmonic analysis and PDEs (42B37)

Related Items (30)

Gradient estimates for Schrödinger operators with characterizations of 𝐵𝑀𝑂_{ℒ} on Heisenberg groups ⋮ Heat kernels, upper bounds and Hardy spaces associated to the generalized Schrödinger operators ⋮ A new version of Carleson measure associated with Hermite operator ⋮ The BMO-Dirichlet problem for elliptic systems in the upper half-space and quantitative characterizations of VMO ⋮ Boundary behavior of harmonic functions on metric measure spaces with non-negative Ricci curvature ⋮ Dirichlet problem for Schrödinger equation with the boundary value in the BMO space ⋮ \( Q_\alpha^{- 1}\) spaces for Hermite operator and their applications in a class of Hermite-dissipative equations ⋮ Extension of Campanato-Sobolev type spaces associated with Schrödinger operators ⋮ BMO type space associated with Neumann operator and application to a class of parabolic equations ⋮ On the caloric functions with BMO traces and their limiting behaviors ⋮ On the Dirichlet problem for the Schrödinger equation in the upper half-space ⋮ 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 ⋮ Solutions of Weinstein type equations, Carleson measures and \(\mathrm{BMO}(\mathbb{R}_+, dm_\lambda)\) ⋮ Gaussian estimates for heat kernels of higher order Schrödinger operators with potentials in generalized Schechter classes ⋮ Harmonic functions with BMO traces and their limiting behaviors on metric measure spaces ⋮ Carleson measure characterizations of the Campanato type space associated with Schrödinger operators on stratified Lie groups ⋮ Unnamed Item ⋮ Boundedness of operators generated by fractional semigroups associated with Schrödinger operators on Campanato type spaces via \(T1\) theorem ⋮ BMO functions and balayage of Carleson measures in the Bessel setting ⋮ On characterization of Poisson integrals of Schrödinger operators with Morrey traces ⋮ Real-variable characterizations of Musielak-Orlicz-Hardy spaces associated with Schrödinger operators on domains ⋮ Carleson measures, BMO spaces and balayages associated to Schrödinger operators ⋮ RIESZ TRANSFORMS AND LITTLEWOOD–PALEY SQUARE FUNCTION ASSOCIATED TO SCHRÖDINGER OPERATORS ON NEW WEIGHTED SPACES ⋮ Fractional Carleson measure associated with Hermite operator ⋮ Towards spaces of harmonic functions with traces in square Campanato spaces and their scaling invariants ⋮ Characterization of temperatures associated to Schrödinger operators with initial data in Morrey spaces ⋮ Solutions of Weinstein equations representable by Bessel Poisson integrals of BMO functions ⋮ The CMO-Dirichlet problem for the Schrödinger equation in the upper half-space and characterizations of CMO

Cites Work

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