Journal of Mathematical Inequalities · Volume 16, Issue 1 Optimal critical exponent Lp inequalities of Hardy type on the sphere via Xiao's method 16-19 Pages 265-272 DOI 10.7153/jmi-2022-16-19 Downloads Short PDF Full PDF PNG Authors Songting Yin Ahmed A. Abdelhakim Keywords Sobolev space Lp Hardy inequalities density agrument compact manifold critical exponent Subject classes 26D10 35A23 46E35