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Zapiski Nauchnykh Seminarov POMI, 2011, Volume 389, Pages 143–161 (Mi znsl4123)  
This article is cited in 2 scientific papers (total in 2 papers)

Gagliardo–Nirenberg inequality for maximal functions measuring smoothness

E. Lokharu

Saint-Petersburg State University, Saint-Petersburg, Russia
Full-text PDF (629 kB) Citations (2)
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Abstract: We prove a Gagliardo–Nirenberg type pointwise interpolation inequality for special maximal functions, measuring smoothness in multidimensional case. It turns out that the clissical inequality follows from this one and it is also possible to use naturally a BMO terms in the inequality.
Key words and phrases: Gagliardo–Nirenberg inequality, sharp maximal function, Sobolev space.
Received: 09.06.2011
English version:
Journal of Mathematical Sciences (New York), 2012, Volume 182, Issue 5, Pages 663–673
DOI: https://doi.org/10.1007/s10958-012-0771-x
Bibliographic databases:
Document Type: Article
UDC: 517.518.1
Language: Russian
Citation: E. Lokharu, “Gagliardo–Nirenberg inequality for maximal functions measuring smoothness”, Investigations on linear operators and function theory. Part 39, Zap. Nauchn. Sem. POMI, 389, POMI, St. Petersburg, 2011, 143–161; J. Math. Sci. (N. Y.), 182:5 (2012), 663–673
Citation in format AMSBIB
\Bibitem{Lok11}
\by E.~Lokharu
\paper Gagliardo--Nirenberg inequality for maximal functions measuring smoothness
\inbook Investigations on linear operators and function theory. Part~39
\serial Zap. Nauchn. Sem. POMI
\yr 2011
\vol 389
\pages 143--161
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl4123}
\transl
\jour J. Math. Sci. (N. Y.)
\yr 2012
\vol 182
\issue 5
\pages 663--673
\crossref{https://doi.org/10.1007/s10958-012-0771-x}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84860355831}
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  • https://www.mathnet.ru/eng/znsl/v389/p143
    • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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