Geodesic
The Littlewood-Paley-Rubio de Francia inequality in Morrey-Campanato spaces
Sbornik. Mathematics, Tome 205 (2014) no. 7, pp. 1004-1023 Cet article a éte moissonné depuis la source Math-Net.Ru

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Rubio de Francia proved a one-sided Littlewood-Paley inequality for arbitrary intervals in $L^p$, $2\le p<\infty$. In this article, his methods are developed and employed to prove an analogue of this type of inequality for exponents $p$ `beyond the index $p=\infty$', that is, for spaces of Hölder functions and BMO. Bibliography: 14 titles.
Keywords: $\mathrm{BMO}$ space, Calderón-Zygmund operators, Lipschitz space.
Mots-clés : Fourier multipliers, Hölder spaces 
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N. N. Osipov. The Littlewood-Paley-Rubio de Francia inequality in Morrey-Campanato spaces. Sbornik. Mathematics, Tome 205 (2014) no. 7, pp. 1004-1023. http://geodesic.mathdoc.fr/item/SM_2014_205_7_a4/

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