Geodesic
On a class Noether theory of two-dimensonal Singular integral equations of the Michlin--Calderon--Zygmund over a bounded domain
Izvestiâ vysših učebnyh zavedenij. Matematika, no. 10 (2022), pp. 33-41

Voir la notice de l'article provenant de la source Math-Net.Ru

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. 
@article{IVM_2022_10_a3,
     author = {G. Dzhangibekov and G. M. Qoziev and B. Yogibekov},
     title = {On a class {Noether} theory of two-dimensonal {Singular} integral equations of the {Michlin--Calderon--Zygmund} over a bounded domain},
     journal = {Izvesti\^a vys\v{s}ih u\v{c}ebnyh zavedenij. Matematika},
     pages = {33--41},
     publisher = {mathdoc},
     number = {10},
     year = {2022},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/IVM_2022_10_a3/}
}
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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. Izvestiâ vysših učebnyh zavedenij. Matematika, no. 10 (2022), pp. 33-41. http://geodesic.mathdoc.fr/item/IVM_2022_10_a3/