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Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2009, Number 8, Pages 3–10
(Mi ivm3049)
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This article is cited in 3 scientific papers (total in 3 papers)
Continuity and compactness of singular integral operators
B. G. Gabdulkhaev Chair of Function Theory and Approximations, Kazan State University, Kazan, Russia
Abstract:
In the space of square integrable functions we establish effective sufficient continuity and compactness conditions for singular integral operators with Cauchy kernels on a segment of the real axis.
Keywords:
space of square integrable functions, singular integral with Cauchy kernel, linear operator, continuity, compactness.
Received: 20.04.2007
Citation:
B. G. Gabdulkhaev, “Continuity and compactness of singular integral operators”, Izv. Vyssh. Uchebn. Zaved. Mat., 2009, no. 8, 3–10; Russian Math. (Iz. VUZ), 53:8 (2009), 1–7
Linking options:
https://www.mathnet.ru/eng/ivm3049 https://www.mathnet.ru/eng/ivm/y2009/i8/p3
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Abstract page: | 501 | Full-text PDF : | 129 | References: | 74 | First page: | 5 |
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