On the distributions of boundary values of Cauchy integrals

DOI10.1090/S0002-9939-96-03363-1zbMath0855.30032OpenAlexW1971423166MaRDI QIDQ4896164

Alexei G. Poltoratski

Publication date: 1996

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

Full work available at URL: https://doi.org/10.1090/s0002-9939-96-03363-1

zbMATH Keywords

Cauchy integralsconjugate functionssingular measures

Mathematics Subject Classification ID

Related Items (10)

Maximal properties of the normalized Cauchy transform ⋮ Spectral and dynamical contrast on highly correlated Anderson-type models ⋮ The Hilbert transform of a measure ⋮ An integral Hankel operator on 𝐻¹(𝔻) ⋮ Clark measures on the complex sphere ⋮ Computing spectral measures and spectral types ⋮ The Bellman function, the two-weight Hilbert transform, and embeddings of the model spaces \(K_\theta\) ⋮ Operators with singular continuous spectrum. IV: Hausdorff dimensions, rank one perturbations, and localization ⋮ Disordered quantum walks in one lattice dimension ⋮ Loewner evolution of hedgehogs and 2-conformal measures of circle maps

Cites Work

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• Inner functions and related spaces of pseudo-continuable functions
• On the distributions of conjugate functions of nonnegative measures
• One dimensional perturbations of restricted shifts
• On a Problem of Weyl in the Theory of Singular Sturm-Liouville Equations
• Singular continuous spectrum under rank one perturbations and localization for random hamiltonians
• On the perturbation of spectra
• On the Weak Type (1, 1) Inequality for Conjugate Functions

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