The Cauchy Singular Integral on Non-Smooth Curve


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Abstract

We consider the Cauchy singular integral with Hölder’s density on non-smooth curves: various versions of its definition, conditions for its existence, boundedness and so on.

About the authors

B. A. Kats

Chair of Mathematical Analysis

Author for correspondence.
Email: katsboris877@gmail.com
Russian Federation, ul. Kremlevskaya 18, Kazan, Tatarstan, 420008

S. R. Mironova

Chair of Theoretical and Applied Mechanics and Mathematics

Email: katsboris877@gmail.com
Russian Federation, ul. K. Marksa 10, Kazan, Tatarstan, 420008

A. Yu. Pogodina

Chair of Special Mathematics

Email: katsboris877@gmail.com
Russian Federation, ul. K. Marksa 10, Kazan, Tatarstan, 420008

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