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Zapiski Nauchnykh Seminarov POMI, 2013, Volume 416, Pages 117–123 (Mi znsl5698)  
Littlewood–Paley–Rubio de Francia inequality in Morrey–Campanato spaces: an announcement

N. N. Osipov

St. Petersburg Department of Steklov Institute of Mathematics of the Russian Academy of Sciences, St. Petersburg, Russia
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Abstract: A one-sided Littlewood–Paley-type $L^p$-inequality, $2\leq p<\infty$, for arbitrary intervals was proved in 1983 by Rubio de Francia. By a refinement of his methods, it is possible to prove an analog of this inequality for “exponents beyond infinity”, i.e., for BMO and Hölder classes.
Key words and phrases: Littlewood–Paley inequality, Hölder spaces, Morrey–Campanato spaces.
Received: 07.07.2013
English version:
Journal of Mathematical Sciences (New York), 2014, Volume 202, Issue 4, Pages 560–564
DOI: https://doi.org/10.1007/s10958-014-2067-9
Bibliographic databases:
Document Type: Article
UDC: 517.443+517.982.27
Language: Russian
Citation: N. N. Osipov, “Littlewood–Paley–Rubio de Francia inequality in Morrey–Campanato spaces: an announcement”, Investigations on linear operators and function theory. Part 41, Zap. Nauchn. Sem. POMI, 416, POMI, St. Petersburg, 2013, 117–123; J. Math. Sci. (N. Y.), 202:4 (2014), 560–564
Citation in format AMSBIB
\Bibitem{Osi13}
\by N.~N.~Osipov
\paper Littlewood--Paley--Rubio de Francia inequality in Morrey--Campanato spaces: an announcement
\inbook Investigations on linear operators and function theory. Part~41
\serial Zap. Nauchn. Sem. POMI
\yr 2013
\vol 416
\pages 117--123
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl5698}
\transl
\jour J. Math. Sci. (N. Y.)
\yr 2014
\vol 202
\issue 4
\pages 560--564
\crossref{https://doi.org/10.1007/s10958-014-2067-9}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84922079253}
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