The Littlewood-Paley-Rubio de Francia inequality in Morrey-Campanato spaces

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.
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