Email this article The Noetherian Conditions and the Index of Some Class of Singular Integral Operators over a Bounded Simply Connected Domain
- Authors: Dzhangibekov G.1, Odinabekov D.M.2, Khudzhanazarov G.K.1
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Affiliations:
- Faculty of Mechanics and Mathematics
- Faculty of Natural Sciences
- Issue: Vol 74, No 2 (2019)
- Pages: 49-54
- Section: Article
- URL: https://journal-vniispk.ru/0027-1322/article/view/164818
- DOI: https://doi.org/10.3103/S0027132219020025
- ID: 164818
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Abstract
Necessary and sufficient conditions to be Noetherian are obtained for two-dimensional singular integral operators on Lebesgue spaces with a weight coefficient. A formula for calculation of their index is given.
About the authors
G. Dzhangibekov
Faculty of Mechanics and Mathematics
Author for correspondence.
Email: gulkhoja@list.ru
Tajikistan, Rudaki str. 17, Dushanbe, 734025
D. M. Odinabekov
Faculty of Natural Sciences
Author for correspondence.
Email: jasur_79@inbox.ru
Tajikistan, Bokhtar str, 35/1, Dushanbe, 734003
G. Kh. Khudzhanazarov
Faculty of Mechanics and Mathematics
Author for correspondence.
Email: gulkhoja@list.ru
Tajikistan, Rudaki str. 17, Dushanbe, 734025
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