Rank one perturbations and singular integral operators

DOI10.1016/j.jfa.2009.05.008zbMath1206.42012arXiv0810.2750OpenAlexW2040359695MaRDI QIDQ841503

Constanze Liaw, S. R. Treil'

Publication date: 17 September 2009

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

Full work available at URL: https://arxiv.org/abs/0810.2750

zbMATH Keywords

singular integral operatorssingular spectrumrank one perturbationstwo weight estimates

Mathematics Subject Classification ID

Singular and oscillatory integrals (Calderón-Zygmund, etc.) (42B20)

Related Items (15)

General Clark model for finite-rank perturbations ⋮ Generators of some non-commutative stochastic processes ⋮ Spectral properties of singular Sturm-Liouville operators via boundary triples and perturbation theory ⋮ Regularizations of general singular integral operators ⋮ Singular boundary conditions for Sturm–Liouville operators via perturbation theory ⋮ Weighted join operators on directed trees ⋮ The Two Weight Inequality for the Hilbert Transform: A Primer ⋮ Singular Integrals, Rank One Perturbations and Clark Model in General Situation ⋮ One-dimensional perturbations of unbounded selfadjoint operators with empty spectrum ⋮ Clark model in the general situation ⋮ On an integral formula for Fredholm determinants related to pairs of spectral projections ⋮ On the difference of spectral projections ⋮ Matrix measures and finite rank perturbations of self-adjoint operators ⋮ Rank-one perturbations and Anderson-type Hamiltonians ⋮ Cauchy-type integrals and singular measures

Cites Work

• Sum rules and spectral measures of Schrödinger operators with \(L^2\) potentials
• Rank one perturbations of not semibounded operators
• Sum rules for Jacobi matrices and their applications to spectral theory
• The \(Tb\)-theorem on non-homogeneous spaces.
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