On compactness of some integral operators with Cauchy kernels

Moloşnic Petru; Neagu Vasile

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2020-03-26 17:46

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517.5+517.9 (7)

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Дифференциальные, интегральные и другие функциональные уравнения. Конечные разности. Вариационное исчисление. Функциональный анализ (246)

SM ISO690:2012

MOLOŞNIC, Petru, NEAGU, Vasile. On compactness of some integral operators with Cauchy kernels. In: Acta et commentationes (Ştiinţe Exacte și ale Naturii), 2018, nr. 2(6), pp. 117-123. ISSN 2537-6284.

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Acta et commentationes (Ştiinţe Exacte și ale Naturii)

Numărul 2(6) / 2018 / ISSN 2537-6284 /ISSNe 2587-3644

On compactness of some integral operators with Cauchy kernels

Asupra compacticității unor operatori integrali cu nuclee de tip Cauchy

CZU: 517.5+517.9

MSC 2010: 34G10

Pag. 117-123

Moloşnic Petru¹, Neagu Vasile²

¹ State Agrarian University of Moldova ,
² Moldova State University

Disponibil în IBN: 31 iulie 2019

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Rezumat

In this paper, it is proved that the integral operator S* - S is compact if the contour of integration is of the Lyapunov type. An example is brought to show that this property of the operator S* - S becomes false if the contour of integration has angular points.

În lucrare se demonstrează că operatorul integral singular S* - S este compact în cazul în care conturul de integrare este de tip Lyapunov. Se construiește un exemplu care arată că această proprietate a operatorului S* - S devine falsă dacă conturul are puncte unghiulare

Cuvinte-cheie
singular integral operator, compact operator, piecewise Lyapunov contour,

operator integral singular, operator compact, contur Lyapunov pe porțiuni

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