SCIENCE ASIAVolume 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 PDFWe 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.
Hardy inequality, sphere, sharp constant