The Cauchy Singular Integral on Non-Smooth Curve
- Authors: Kats B.A.1, Mironova S.R.2, Pogodina A.Y.3
-
Affiliations:
- Chair of Mathematical Analysis
- Chair of Theoretical and Applied Mechanics and Mathematics
- Chair of Special Mathematics
- Issue: Vol 39, No 6 (2018)
- Pages: 767-770
- Section: Article
- URL: https://journals.rcsi.science/1995-0802/article/view/202361
- DOI: https://doi.org/10.1134/S1995080218060082
- ID: 202361
Cite item
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.
Keywords
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