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

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.

arXiv comment24 pages