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arXiv · 2111.07084

Some notes on the vector-valued extension of Littlewood--Paley--Rubio de Francia inequality for Walsh functions

Anton Tselishchev
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Abstract

J. L. Rubio de Francia proved the one-sided Littlewood--Paley inequality for arbitrary intervals in $L^p$, $2\le p<\infty$ and later N. N. Osipov proved the similar inequality for Walsh functions. In this paper we investigate some properties of Banach spaces $X$ such that the latter inequality holds for $X$-valued functions.

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Anton Tselishchev. 2021-11-13. Some notes on the vector-valued extension of Littlewood--Paley--Rubio de Francia inequality for Walsh functions. https://arxiv.org/abs/2111.07084

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