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Images of non-tangential sectors under Cauchy transforms

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Publication:1411305
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DOI10.1007/BF02893089zbMath1042.31002OpenAlexW2017260883MaRDI QIDQ1411305

Alexei G. Poltoratski

Publication date: 27 October 2003

Published in: Journal d'Analyse Mathématique (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02893089

zbMATH Keywords

singular integralCauchy transformPoisson integralconjugate Poisson integral


Mathematics Subject Classification ID

Integral representations, integral operators, integral equations methods in two dimensions (31A10) Boundary behavior (theorems of Fatou type, etc.) of harmonic functions in two dimensions (31A20)


Related Items

A quantitative formula for the imaginary part of a Weyl coefficient, Atoms and regularity for measures in a partially defined free convolution semigroup, Spectral multiplicity of selfadjoint Schrödinger operators on star-graphs with standard interface conditions



Cites Work

  • Unnamed Item
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  • On mappings, conformal at the boundary
  • Inner function images of radii
  • Inner Functions, Bloch Spaces and Symmetric Measures
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