Geodesic
Littlewood–Paley–Rubio de Francia inequality in Morrey–Campanato spaces: an announcement
Zapiski Nauchnykh Seminarov POMI, Investigations on linear operators and function theory. Part 41, Tome 416 (2013), pp. 117-123 Cet article a éte moissonné depuis la source Math-Net.Ru

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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. 
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N. N. Osipov. Littlewood–Paley–Rubio de Francia inequality in Morrey–Campanato spaces: an announcement. Zapiski Nauchnykh Seminarov POMI, Investigations on linear operators and function theory. Part 41, Tome 416 (2013), pp. 117-123. http://geodesic.mathdoc.fr/item/ZNSL_2013_416_a6/

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