Multipliers in dual Sobolev spaces and Schrödinger operators with distribution potentials

DOI10.1023/A:1015814602021zbMath1029.46029OpenAlexW191761582MaRDI QIDQ1810111

Dzh.-G. Bak, A. A. Shkalikov

Publication date: 15 June 2003

Published in: Mathematical Notes (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1023/a:1015814602021

zbMATH Keywords

Sobolev spaceSchrödinger operatormultipliersdistribution potentials

Mathematics Subject Classification ID

Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Schrödinger operator, Schrödinger equation (35J10)

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Regularity of solutions to Dirichlet boundary value problem in domains on a manifold ⋮ Strict domain monotonicity of the principal eigenvalue and a characterization of lower boundedness for the Friedrichs extension of four-coefficient Sturm–Liouville operators ⋮ Strongly elliptic operators with singular coefficients ⋮ Characterization of the function spaces associated with weighted Sobolev spaces of the first order on the real line ⋮ Multipliers in spaces of Bessel potentials: the case of indices of nonnegative smoothness ⋮ Supersymmetry and Schrödinger-type operators with distributional matrix-valued potentials ⋮ Inverse spectral problems for Sturm--Liouville operators in impedance form ⋮ Eigenvalue asymptotics for Sturm--Liouville operators with singular potentials ⋮ Hardy-Steklov operators and the duality principle in weighted first-order Sobolev spaces on the real axis ⋮ Multipliers in Bessel potential spaces with smoothness indices of different sign ⋮ Characterization of spaces of multipliers for Bessel potential spaces

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