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Sibirskii Matematicheskii Zhurnal, 2014, Volume 55, Number 6, Pages 1315–1327
(Mi smj2606)
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This article is cited in 7 scientific papers (total in 7 papers)
Boundedness of pseudodifferential operators in Hölder–Zygmund spaces of variable order
V. D. Kryakvin South Federal University, Rostov-on-Don, Russia
Abstract:
We introduce the Hölder–Zygmund spaces with a variable smoothness exponent, define equivalent norms, and prove a theorem on boundedness of pseudodifferential operators with Hörmander symbols in these spaces.
Keywords:
pseudodifferential operator, Hölder–Zygmund space, equivalent norms.
Received: 08.11.2013
Citation:
V. D. Kryakvin, “Boundedness of pseudodifferential operators in Hölder–Zygmund spaces of variable order”, Sibirsk. Mat. Zh., 55:6 (2014), 1315–1327; Siberian Math. J., 55:6 (2014), 1073–1083
Linking options:
https://www.mathnet.ru/eng/smj2606 https://www.mathnet.ru/eng/smj/v55/i6/p1315
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Abstract page: | 268 | Full-text PDF : | 70 | References: | 60 | First page: | 12 |
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