Abstract
We establish certain deLeeuw type theorems for Littlewood-Paley functions. By these theorems, we know that the boundedness of a Littlewood-Paley function on $\mathbb{R}^n$ is equivalent to the boundedness of its corresponding Littlewood-Paley function on the torus $\mathbb{T}^n$.
Citation
Chang-Pao Chen. Dashan Fan. Shuichi Sato. "DeLeeuw's theorem on Littlewood-Paley functions." Nagoya Math. J. 165 23 - 42, 2002.
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