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Zapiski Nauchnykh Seminarov POMI, 2011, Volume 397, Pages 53–72 (Mi znsl4667)  
This article is cited in 1 scientific paper (total in 1 paper)

Maximal functions measuring smooytness: counterexamples

E. E. Lokharu

Saint-Petersburg State University, Saint-Petersburg, Russia
Full-text PDF (271 kB) Citations (1)
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Abstract: We consider two main maximal operators measuring smoothness. For all possible values of the parameters, we give simple examples of bounded functions with compact support that clearly show quite clearly the difference between these maximal operators.
Key words and phrases: smoothness spaces, maximal functions.
Received: 08.12.2011
English version:
Journal of Mathematical Sciences (New York), 2012, Volume 185, Issue 5, Pages 687–697
DOI: https://doi.org/10.1007/s10958-012-0952-7
Bibliographic databases:
Document Type: Article
UDC: 517
Language: Russian
Citation: E. E. Lokharu, “Maximal functions measuring smooytness: counterexamples”, Boundary-value problems of mathematical physics and related problems of function theory. Part 42, Zap. Nauchn. Sem. POMI, 397, POMI, St. Petersburg, 2011, 53–72; J. Math. Sci. (N. Y.), 185:5 (2012), 687–697
Citation in format AMSBIB
\Bibitem{Lok11}
\by E.~E.~Lokharu
\paper Maximal functions measuring smooytness: counterexamples
\inbook Boundary-value problems of mathematical physics and related problems of function theory. Part~42
\serial Zap. Nauchn. Sem. POMI
\yr 2011
\vol 397
\pages 53--72
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl4667}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2870108}
\transl
\jour J. Math. Sci. (N. Y.)
\yr 2012
\vol 185
\issue 5
\pages 687--697
\crossref{https://doi.org/10.1007/s10958-012-0952-7}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84866941769}
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    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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