Email this article New metric characteristics of nonrectifiable curves and their applications
- Authors: Kats D.B.1
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Affiliations:
- Kazan (Volga Region) Federal University
- Issue: Vol 57, No 2 (2016)
- Pages: 285-291
- Section: Article
- URL: https://journals.rcsi.science/0037-4466/article/view/170376
- DOI: https://doi.org/10.1134/S0037446616020117
- ID: 170376
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Abstract
We introduce new metric characteristics for nonrectifiable curves. They admit applications to the theory of boundary value problems for analytic functions. Using these characteristics, we in particular obtain some sharper conditions than those available for the solvability of the jump problem and the Riemann problem in domains with nonrectifiable boundaries.
About the authors
D. B. Kats
Kazan (Volga Region) Federal University
Author for correspondence.
Email: katzdavid89@gmail.com
Russian Federation, Kazan
