Geodesic
The Littlewood-Paley-Rubio de Francia inequality in Morrey-Campanato spaces
Sbornik. Mathematics, Tome 205 (2014) no. 7, pp. 1004-1023

Voir la notice de l'article provenant de la source Math-Net.Ru

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, Hölder spaces, Lipschitz space.
Mots-clés : Fourier multipliers 
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     title = {The {Littlewood-Paley-Rubio} de {Francia} inequality in {Morrey-Campanato} 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/