Radial bounds for perturbations of elliptic operators

DOI10.1016/0022-1236(84)90027-2zbMath0538.35028OpenAlexW2067886356WikidataQ61675464 ScholiaQ61675464MaRDI QIDQ793215

David Gurarie, Mark A. Kon

Publication date: 1984

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

Full work available at URL: https://doi.org/10.1016/0022-1236(84)90027-2

zbMATH Keywords

resolventsemigroupSchrödinger operatorsperturbationsmultipliersymbolconstant coefficientinterpolation inequalitiesLebesgue setN-body potentialsradial bound

Mathematics Subject Classification ID

Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Perturbation theory of linear operators (47A55) Groups and semigroups of linear operators (47D03) Perturbations in context of PDEs (35B20) Higher-order elliptic equations (35J30)

Related Items (7)

A characterization of wavelet convergence in sobolev spaces ⋮ Equisummability of eigenfunction expansions under analytic multipliers ⋮ On \(L^ p\)-spectrum of elliptic operators ⋮ Kernels and equisummation properties of uniformly elliptic operators ⋮ Inversion of an integral transform related to a general form of heat equation ⋮ New multiplier methods for summing classical eigenfunction expansions ⋮ Kernels of elliptic operators: bounds and summability

Cites Work

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• Estimates for translation invariant operators in \(L^p\) spaces
• The integrable kernels of certain pseudo-differential operators
• On Singular Integrals
• The Stieltjes Summability Method and Summing Sturm–Liouville Expansions
• Topics in Harmonic Analysis Related to the Littlewood-Paley Theory. (AM-63)

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