We give a classification between weighted norm inequalities of strong fractional integral operators and their corresponding multi-parameter Muckenhoupt characteristics, by considering the weights to be power functions. As a result, we extend the classical Stein–Weiss theorem on product spaces.

中文翻译：

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乘积空间上的 Stein-Weiss 不等式

通过将权重视为幂函数，我们对强分数积分算子的加权范数不等式及其相应的多参数 Muckenhoupt 特征进行了分类。因此，我们在乘积空间上扩展了经典的 Stein-Weiss 定理。