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Sibirskii Matematicheskii Zhurnal, 2014, Volume 55, Number 6, Pages 1315–1327 (Mi smj2606)  

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
Full-text PDF (338 kB) Citations (7)
References:
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
English version:
Siberian Mathematical Journal, 2014, Volume 55, Issue 6, Pages 1073–1083
DOI: https://doi.org/10.1134/S0037446614060093
Bibliographic databases:
Document Type: Article
UDC: 517.983.23
Language: Russian
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
Citation in format AMSBIB
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\paper Boundedness of pseudodifferential operators in H\"older--Zygmund spaces of variable order
\jour Sibirsk. Mat. Zh.
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\issue 6
\pages 1315--1327
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\issue 6
\pages 1073--1083
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\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84919433579}
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  • https://www.mathnet.ru/eng/smj/v55/i6/p1315
  • This publication is cited in the following 7 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Сибирский математический журнал Siberian Mathematical Journal
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    Abstract page:268
    Full-text PDF :70
    References:60
    First page:12
     
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