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, Number 10,Pages <nobr>33

On a class Noether theory of two-dimensonal Singular integral equations of the Michlin–Calderon–Zygmund over a bounded domain

G. Dzhangibekov^a, G. M. Qoziev^b, B. Yogibekov^a

^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

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.

UDC: 517.968

Received: 27.11.2021
Revised: 27.11.2021
Accepted: 08.04.2022

DOI: 10.26907/0021-3446-2022-10-33-41