SCIENCE ASIA

Volume 46, No. 06, Month DECEMBER, Year 2020, Pages 746 - 752

A sharp lp-hardy type inequality on the n-sphere

Songting Yin, Yu Ren, Caiyun Liu

Abstract Download PDF

We obtain an Lp-Hardy inequality on the n-sphere and give the corresponding sharp constant. Furthermore, the obtained inequalities are used to derive an uncertainty principle inequality and some corollaries. The results generalize and improve some related inequalities in recent literature.

Keywords

Hardy inequality, sphere, sharp constant

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