This paper establishes a generalization of the celebrated Stein–Weiss inequalities for the fractional integral operators on radial functions in local Morrey spaces. We find that some conditions can be relaxed for the Stein–Weiss inequalities on radial local Morrey spaces.

中文翻译：

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径向局部Morrey空间的Stein-Weiss不等式

本文建立了局部Morrey空间中径向函数上分数积分算子的著名Stein-Weiss不等式的推广。我们发现，径向局部Morrey空间上Stein-Weiss不等式的某些条件可以放宽。