Geodesic
On the vector-valued extension of Littlewood–Paley–Rubio de Francia inequality for Walsh functions
Zapiski Nauchnykh Seminarov POMI, Investigations on linear operators and function theory. Part 49, Tome 503 (2021), pp. 137-153 Cet article a éte moissonné depuis la source Math-Net.Ru

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In the case of trigonometric system, Rubio de Francia proved the one-sided Littlewood–Paley inequality for arbitrary intervals and for the functions in the $L^p$ spaces, $2\le p$. 
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A. Tselishchev. On the vector-valued extension of Littlewood–Paley–Rubio de Francia inequality for Walsh functions. Zapiski Nauchnykh Seminarov POMI, Investigations on linear operators and function theory. Part 49, Tome 503 (2021), pp. 137-153. http://geodesic.mathdoc.fr/item/ZNSL_2021_503_a8/

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