积分形式Morrey空间上的sobolev型不等式

Pub Date : 2022-01-01 DOI:10.11650/tjm/220203

T. Ohno, T. Shimomura

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引用次数: 1

摘要

我们证明了非加倍度量度量空间上积分形式Morrey空间中函数的修正Riesz势的sobolev型不等式。我们的结果是新的，即使是双度量度量设置。特别地，我们的结果推广了欧几里得情况下积分形式的Morrey空间中的先前结果。

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On Sobolev-type Inequalities on Morrey Spaces of an Integral Form

We prove Sobolev-type inequalities for modified Riesz potentials of functions in 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 extend the previous results in Morrey spaces of an integral form in the Euclidean case.

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