Geodesic
On singular integrals related to the Littlewood–Paley inequality for arbitrary intervals
Zapiski Nauchnykh Seminarov POMI, Investigations on linear operators and function theory. Part 35, Tome 345 (2007), pp. 113-119 Cet article a éte moissonné depuis la source Math-Net.Ru

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The proof of the inequality mentioned in the title requires the knowledge of the fact that operators of a certain class are Calderór–Zygmund singular integral operators. We slightly extend this class. 
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     title = {On singular integrals related to the {Littlewood{\textendash}Paley} inequality for arbitrary intervals},
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S. V. Kislyakov; D. V. Parilov. On singular integrals related to the Littlewood–Paley inequality for arbitrary intervals. Zapiski Nauchnykh Seminarov POMI, Investigations on linear operators and function theory. Part 35, Tome 345 (2007), pp. 113-119. http://geodesic.mathdoc.fr/item/ZNSL_2007_345_a6/

[1] S. V. Kislyakov, D. V. Parilov, “O teoreme Litlvuda–Peli dlya proizvolnykh intervalov”, Zap. nauchn. semin. POMI, 327, 2005, 98–113

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