On the perturbation of singular integral operators with piecewise continous coefficients
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517.968.23 (2)
Ecuații diferențiale. Ecuații integrale. Alte ecuații funcționale. Diferențe finite. Calculul variațional. Analiză funcțională (243)
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NEAGU, Vasile. On the perturbation of singular integral operators with piecewise continous coefficients. In: Science and education: new approaches and perspectives: . Selective collection of abstracts, Ed. 25, 24-25 martie 2023, Chişinău. Chişinău: (CEP UPSC, 2023, Seria 25, pp. 58-58_2. ISBN 978-9975-46-788-9.
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Science and education: new approaches and perspectives
Seria 25, 2023
Conferința "Science and education: new approaches and perspectives"
25, Chişinău, Moldova, 24-25 martie 2023

On the perturbation of singular integral operators with piecewise continous coefficients

CZU: 517.968.23

Pag. 58-58_2

Neagu Vasile
 
"Ion Creangă" State Pedagogical University from Chisinau
 
 
Disponibil în IBN: 7 noiembrie 2023


Rezumat

In the paper it is proved that the property of singular integral operators with piecewise continuous coefficients to be Noetherian is stable with respect to their perturbation with certain non-compact operators. An example is constructed which demonstrates that the corner points of the contour of integration significantly affect the Noetherian property of singular operators with a shift. These results are obtained using the symbol of singular operators on contours with angular points, symbol, which is also determined in this paper.

Cuvinte-cheie
singular integral operators, noetherian operators, piecewise Lyapunov contour, symbol