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arXiv · 1211.0696

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

Nikolay N. Osipov
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Abstract

Rubio de Francia proved the 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 such an inequality "beyond the index $p=\infty$", i.e., for spaces of Hölder functions and BMO.

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Nikolay N. Osipov. 2013-03-26. Littlewood--Paley--Rubio de Francia inequality in Morrey--Campanato spaces. https://arxiv.org/abs/1211.0696

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