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Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2015, Number 6, Pages 82–85 (Mi ivm9013)  
This article is cited in 1 scientific paper (total in 1 paper)

Brief communications

On boundedness of pseudodifferential operators in Hölder–Zygmund spaces with variable order of smoothness

G. P. Omarova

Institute of Mathematics, Mechanics and Computer Science, Southern Federal University, 8a Milchakov str., Rostov-on-Don, 344090 Russia
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Abstract: We consider the Hölder–Zygmund spaces of functions with variable index of smoothness defined on finite-dimensional real space. The index of smoothness depends on a point in this space and may take negative values. We prove the boundedness theorem for pseudodifferential operators with exotic symbols the from Hörmander classes in these spaces.
Keywords: pseudodifferential operators, Hölder–Zygmund spaces, variable index of smoothness.
Presented by the member of Editorial Board: S. G. Samko
Received: 27.11.2014
English version:
Russian Mathematics (Izvestiya VUZ. Matematika), 2015, Volume 59, Issue 6, Pages 68–70
DOI: https://doi.org/10.3103/S1066369X15060109
Bibliographic databases:
Document Type: Article
UDC: 517.983
Language: Russian
Citation: G. P. Omarova, “On boundedness of pseudodifferential operators in Hölder–Zygmund spaces with variable order of smoothness”, Izv. Vyssh. Uchebn. Zaved. Mat., 2015, no. 6, 82–85; Russian Math. (Iz. VUZ), 59:6 (2015), 68–70
Citation in format AMSBIB
\Bibitem{Oma15}
\by G.~P.~Omarova
\paper On boundedness of pseudodifferential operators in H\"older--Zygmund spaces with variable order of smoothness
\jour Izv. Vyssh. Uchebn. Zaved. Mat.
\yr 2015
\issue 6
\pages 82--85
\mathnet{http://mi.mathnet.ru/ivm9013}
\transl
\jour Russian Math. (Iz. VUZ)
\yr 2015
\vol 59
\issue 6
\pages 68--70
\crossref{https://doi.org/10.3103/S1066369X15060109}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84938252729}
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    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Известия высших учебных заведений. Математика Russian Mathematics (Izvestiya VUZ. Matematika)
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