Angular limits of the integrals of the Cauchy type

Josef Král; Dagmar Medková

Czechoslovak Mathematical Journal (1997)

  • Volume: 47, Issue: 4, page 593-617
  • ISSN: 0011-4642

Abstract

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Integrals of the Cauchy type extended over the boundary ∂ A of a general compact set A in the complex plane are investigated. Necessary and sufficient conditions on ∂ A are established guaranteeing the existence of angular limits of these integrals at a fixed z ∈ ∂ A for all densities satisfying a Hölder-type condition at z .

How to cite

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Král, Josef, and Medková, Dagmar. "Angular limits of the integrals of the Cauchy type." Czechoslovak Mathematical Journal 47.4 (1997): 593-617. <http://eudml.org/doc/30386>.

@article{Král1997,
abstract = {Integrals of the Cauchy type extended over the boundary $\partial A$ of a general compact set $A$ in the complex plane are investigated. Necessary and sufficient conditions on $\partial A$ are established guaranteeing the existence of angular limits of these integrals at a fixed $z\in \partial A$ for all densities satisfying a Hölder-type condition at $z$.},
author = {Král, Josef, Medková, Dagmar},
journal = {Czechoslovak Mathematical Journal},
keywords = {integrals of Cauchy type; angular limits; integrals of Cauchy type; angular limits},
language = {eng},
number = {4},
pages = {593-617},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Angular limits of the integrals of the Cauchy type},
url = {http://eudml.org/doc/30386},
volume = {47},
year = {1997},
}

TY - JOUR
AU - Král, Josef
AU - Medková, Dagmar
TI - Angular limits of the integrals of the Cauchy type
JO - Czechoslovak Mathematical Journal
PY - 1997
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 47
IS - 4
SP - 593
EP - 617
AB - Integrals of the Cauchy type extended over the boundary $\partial A$ of a general compact set $A$ in the complex plane are investigated. Necessary and sufficient conditions on $\partial A$ are established guaranteeing the existence of angular limits of these integrals at a fixed $z\in \partial A$ for all densities satisfying a Hölder-type condition at $z$.
LA - eng
KW - integrals of Cauchy type; angular limits; integrals of Cauchy type; angular limits
UR - http://eudml.org/doc/30386
ER -

References

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