🔧На сайте запланированы технические работы
25.12.2025 в промежутке с 18:00 до 21:00 по Московскому времени (GMT+3) на сайте будут проводиться плановые технические работы. Возможны перебои с доступом к сайту. Приносим извинения за временные неудобства. Благодарим за понимание!
🔧Site maintenance is scheduled.
Scheduled maintenance will be performed on the site from 6:00 PM to 9:00 PM Moscow time (GMT+3) on December 25, 2025. Site access may be interrupted. We apologize for the inconvenience. Thank you for your understanding!

 

The Cauchy Singular Integral on Non-Smooth Curve


Cite item

Full Text

Open Access Open Access
Restricted Access Access granted
Restricted Access Subscription Access

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

Supplementary files

Supplementary Files
Action
1. JATS XML

Copyright (c) 2018 Pleiades Publishing, Ltd.