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Littlewood–Paley–Rubio De Francia Inequality for the Two-Parameter Walsh System

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X iv :2 10 2. 06 97 0v 2 [ m at h. FA ] 1 S ep 2 02 1 Littlewood–Paley–Rubio de Francia Inequality for the Two-parameter Walsh System… Click to show full abstract

X iv :2 10 2. 06 97 0v 2 [ m at h. FA ] 1 S ep 2 02 1 Littlewood–Paley–Rubio de Francia Inequality for the Two-parameter Walsh System Viacheslav Borovitskiy ∗ St. Petersburg Department of Steklov Mathematical Institute St. Petersburg State University Abstract A version of Littlewood–Paley–Rubio de Francia inequality for the twoparameter Walsh system is proved: for any family of disjoint rectangles Ik = I 1 k×I 2 k in Z+ × Z+ and a family of functions fk with Walsh spectrum inside Ik the following is true

Keywords: littlewood paley; paley rubio; rubio francia; francia inequality; walsh system

Journal Title: Journal of Mathematical Sciences
Year Published: 2022

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