We establish a characterization of the Hardy spaces on the homogeneous groups in terms of the Littlewood–Paley functions. The proof is based on vector-valued inequalities shown by applying the Peetre maximal function.

中文翻译：

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齐群和Littlewood-Paley函数的Hardy空间

我们根据Littlewood–Paley函数建立了齐次群上Hardy空间的刻画。该证明基于通过应用Peetre极大函数显示的矢量值不等式。