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Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2022, Number 10, Pages 33–41
DOI: https://doi.org/10.26907/0021-3446-2022-10-33-41 (Mi ivm9818) 		 
On a class Noether theory of two-dimensonal Singular integral equations of the Michlin–Calderon–Zygmund over a bounded domain

G. Dzhangibekova, G. M. Qozievb, B. Yogibekova

a Tajik National University, 17 Rudaki Ave., Dushanbe, 734025 Republic of Tajikistan
b Institute of Tourism, Entrepreneurship and Service, 48/5 Borbard Ave., Dushanbe, 734055 Republic of Tajikistan
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DOI: https://doi.org/10.26907/0021-3446-2022-10-33-41
Abstract: In this paper established effective necessary and sufficient conditions for the Noetherian property of two-dimensional singular integral equations of the Mikhlin–Calderon–Zygmund type in Lebesgue spaces with a weight, and given a formula for calculating the index.
Keywords: singular integral operators, symbol of operator, operator noetherian, operator's index.
Received: 27.11.2021
Revised: 27.11.2021
Accepted: 08.04.2022
English version:
Russian Mathematics (Izvestiya VUZ. Matematika), 2022, Volume 66, Issue 10, Pages 25–32
DOI: https://doi.org/10.3103/S1066369X22100048
Document Type: Article
UDC: 517.968
Language: Russian
Citation: G. Dzhangibekov, G. M. Qoziev, B. Yogibekov, “On a class Noether theory of two-dimensonal Singular integral equations of the Michlin–Calderon–Zygmund over a bounded domain”, Izv. Vyssh. Uchebn. Zaved. Mat., 2022, no. 10, 33–41; Russian Math. (Iz. VUZ), 66:10 (2022), 25–32
Citation in format AMSBIB
\Bibitem{DzhQozYog22}
\by G.~Dzhangibekov, G.~M.~Qoziev, B.~Yogibekov
\paper On a class Noether theory of two-dimensonal Singular integral equations of the Michlin--Calderon--Zygmund over a bounded domain
\jour Izv. Vyssh. Uchebn. Zaved. Mat.
\yr 2022
\issue 10
\pages 33--41
\mathnet{http://mi.mathnet.ru/ivm9818}
\crossref{https://doi.org/10.26907/0021-3446-2022-10-33-41}
\transl
\jour Russian Math. (Iz. VUZ)
\yr 2022
\vol 66
\issue 10
\pages 25--32
\crossref{https://doi.org/10.3103/S1066369X22100048}
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