Maximal properties of the normalized Cauchy transform

DOI10.1090/S0894-0347-02-00403-4zbMath1017.30049MaRDI QIDQ4780393

Alexei G. Poltoratski

Publication date: 19 November 2002

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

zbMATH Keywords

Cauchy integralsnon-tangential maximal functionboundary convergence

Mathematics Subject Classification ID

Integration, integrals of Cauchy type, integral representations of analytic functions in the complex plane (30E20)

Related Items (4)

The Patterson-Sullivan reconstruction of pluriharmonic functions for determinantal point processes on complex hyperbolic spaces ⋮ Inner Functions, Completeness and Spectra ⋮ Boundary convergence of vector-valued pseudocontinuable functions ⋮ The Bellman function, the two-weight Hilbert transform, and embeddings of the model spaces \(K_\theta\)

Cites Work

• On the existence of nontangential boundary values of pseudocontinuable functions
• Isometric embeddings of coinvariant subspaces of the shift operator
• Equivalence up to a rank one perturbation
• Inner functions and related spaces of pseudo-continuable functions
• One dimensional perturbations of restricted shifts
• Properties of exposed points in the unit ball of H^1
• On the distributions of boundary values of Cauchy integrals
• Littlewood-Paley theory and the \(T(1)\) theorem with non-doubling measures
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