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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 ISO690:2012MOLOŞNIC, 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 | ||||||||
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| CZU: 517.5+517.9 | ||||||||
| MSC 2010: 34G10 | ||||||||
| Pag. 117-123 | ||||||||
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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. |
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| Cuvinte-cheie singular integral operator, compact operator, piecewise Lyapunov contour, operator integral singular, operator compact, contur Lyapunov pe porțiuni |
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