Weighted norm inequalities for potentials with applications to Schrödinger operators, Fourier transforms, and Carleson measures

DOI10.1090/S0273-0979-1985-15306-6zbMath0564.35027OpenAlexW2007121190MaRDI QIDQ3678056

Ron Kerman, Eric T. Sawyer

Publication date: 1985

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

Full work available at URL: https://doi.org/10.1090/s0273-0979-1985-15306-6

zbMATH Keywords

Fourier transformsSchrödinger operatorscharacterizationessential spectrumCarleson measurestrace inequalityweighted norm inequalitiespotential operatorsDirichlet-type spacesdistribution of eigenvalues

Mathematics Subject Classification ID

Maximal functions, Littlewood-Paley theory (42B25) Asymptotic distributions of eigenvalues in context of PDEs (35P20) Schrödinger operator, Schrödinger equation (35J10) Inequalities involving derivatives and differential and integral operators (26D10)

Related Items

L^PEstimates for fractional integrals and sobolev inequalities with applications to schrödinger operators, Weighted Norm Inequalities for the Continuous Square Function, Eigenvalue estimates for degenerate partial differential operators, Weighted norm inequalities for maximal operators and Pisier's theorem on factorization through \(L^{p{\infty}}\), Admissible function spaces for weighted Sobolev inequalities, Trace inequalities for operators associated to regular Dirichlet forms, Weighted Norm Estimates for Sobolev Spaces, Carleson Measures and Multipliers of Dirichlet-Type Spaces, A Characterization of Two Weight Norm Inequalities for Fractional and Poisson Integrals, The trace inequality and eigenvalue estimates for Schrödinger operators

Cites Work

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• Tangential boundary behavior of functions in Dirichlet-type spaces
• Multipliers of the Dirichlet space
• The uncertainty principle
• Weighted Norm Inequalities for the Fourier Transform
• The local regularity of solutions of degenerate elliptic equations
• A characterization of a two-weight norm inequality for maximal operators
• Weighted Norm Inequalities for Fractional Integrals