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Trudy Matematicheskogo Instituta imeni V.A. Steklova, 2001, Volume 232, Pages 298–317
(Mi tm221)
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This article is cited in 37 scientific papers (total in 37 papers)
On Integral Operators with Variable Limits of Integration
V. D. Stepanov, E. P. Ushakova Institute for Applied Mathematics, Khabarovsk Division, Far-Eastern Branch of the Russian Academy of Sciences
Abstract:
Integral Hardy-type operators with variable limits of integration are studied. For these operators, the boundedness and compactness criteria are obtained and applications are considered to the embeddings of the weighted Sobolev spaces on a half-axis into the Lebesgue spaces.
Received in October 2000
Citation:
V. D. Stepanov, E. P. Ushakova, “On Integral Operators with Variable Limits of Integration”, Function spaces, harmonic analysis, and differential equations, Collected papers. Dedicated to the 95th anniversary of academician Sergei Mikhailovich Nikol'skii, Trudy Mat. Inst. Steklova, 232, Nauka, MAIK «Nauka/Inteperiodika», M., 2001, 298–317; Proc. Steklov Inst. Math., 232 (2001), 290–309
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https://www.mathnet.ru/eng/tm221 https://www.mathnet.ru/eng/tm/v232/p298
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Abstract page: | 693 | Full-text PDF : | 209 | References: | 57 |
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