We give Trudinger-type inequalities for Riesz potentials of functions in Orlicz-Morrey spaces of an integral form over non-doubling metric measure spaces. Our results are new even for the doubling metric measure setting. In particular, our results improve and extend the previous results in Morrey spaces of an integral form in the Euclidean case.

中文翻译：

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积分形式的Orlicz-Morrey空间中的Trudinger型不等式

我们给出了在不加倍度量度量空间上整数形式的Orlicz-Morrey空间中函数的Riesz势的Trudinger型不等式。即使对于加倍的度量标准设置，我们的结果也是新的。尤其是，我们的结果在欧氏情况下以积分形式的Morrey空间中的改进和扩展了先前的结果。