One-sided Littlewood–Paley inequality in $\mathbb R^n$ for $0<p\le2$
N. N. Osipov

This publication is cited in the following articles:

1. Viacheslav Borovitskiy, “Littlewood–Paley–Rubio de Francia inequality for multi‐parameter Vilenkin systems”, Mathematische Nachrichten, 297:3 (2024), 1092  
2. Quanhua Xu, “Optimal orders of the best constants in the Littlewood-Paley inequalities”, Journal of Functional Analysis, 283:6 (2022), 109570  
3. V. Borovitskiy, “Littlewood–Paley–Rubio De Francia Inequality for the Two-Parameter Walsh System”, J Math Sci, 261:6 (2022), 746  
4. V. Borovitskii, “Neravenstvo Litlvuda–Peli–Rubio de Fransia dlya dvuparametricheskoi sistemy Uolsha”, Issledovaniya po lineinym operatoram i teorii funktsii. 48, Zap. nauchn. sem. POMI, 491, POMI, SPb., 2020, 27–42  
5. V. A. Borovitskiǐ, “Weighted Littlewood–Paley inequality for arbitrary rectangles in $\mathbb{R}^2$”, St. Petersburg Math. J., 32:6 (2021), 975–997    
6. S. N. Kudryavtsev, “An analogue of the Littlewood–Paley theorem for orthoprojectors onto wavelet subspaces”, Izv. Math., 80:3 (2016), 557–601                
7. N. N. Osipov, “The Littlewood-Paley-Rubio de Francia inequality in Morrey-Campanato spaces”, Sb. Math., 205:7 (2014), 1004–1023