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Proceedings of the American Mathematical Society
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Proceedings of the American Mathematical Society
Article . 1996 . Peer-reviewed
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On the distributions of boundary values of Cauchy integrals

descriptionPublicationkeyboard_double_arrow_right Article , Other literature type 01 Jan 1996 English Publisher:American Mathematical Society (AMS)Journal:Proceedings of the American Mathematical Society, volume 124, pages 2,455-2,463 (issn: 0002-9939, eissn: 1088-6826, Copyright policy )
Authors: Alexei G. Poltoratski;

doi: 10.1090/s0002-9939-96-03363-1

On the distributions of boundary values of Cauchy integrals

Abstract

We use new methods to give short proofs to some known results on the distributions of boundary values of Cauchy integrals. We also indicate some further generalizations.

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Keywords

Conjugate functions, conjugate series, singular integrals, Integration, integrals of Cauchy type, integral representations of analytic functions in the complex plane, conjugate functions, Cauchy integrals, \(H^p\)-classes, singular measures

  • BIP!
    Impact byBIP!
    citations
    This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
    		 16
    popularity
    This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
    		 Average
    influence
    This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
    		 Top 10%
    impulse
    This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
    		 Average
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citations
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
16
Average
Top 10%
Average
bronze