Uniform Sobolev inequalities and absolute continuity of periodic operators

DOI10.1090/S0002-9947-07-04545-XzbMath1133.35031OpenAlexW2031074178MaRDI QIDQ5437613

Zhongwei Shen, Pei-Hao Zhao

Publication date: 21 January 2008

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

Full work available at URL: https://doi.org/10.1090/s0002-9947-07-04545-x

zbMATH Keywords

Dirac operatorperiodic operatorsabsolute continuity of the spectrumuniform Sobolev inequalities

Mathematics Subject Classification ID

Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Multipliers for harmonic analysis in several variables (42B15) General theory of partial differential operators (47F05) Schrödinger operator, Schrödinger equation (35J10)

Related Items (6)

On absolute continuity of the spectrum of periodic Schrödinger operators ⋮ From spectral cluster to uniform resolvent estimates on compact manifolds ⋮ On absolute continuity of the spectrum of a 3D periodic magnetic Dirac operator ⋮ Absolute continuity of the periodic Schrödinger operator in transversal geometry ⋮ On \(L^p\)-resolvent estimates and the density of eigenvalues for compact Riemannian manifolds ⋮ An overview of periodic elliptic operators

Cites Work

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