Hardy type inequalities on the sphere

Abstract In this paper, we consider the L p $L^{p}$ -Hardy inequalities on the sphere. By the divergence theorem, we establish the L p $L^{p}$ -Hardy inequalities on the sphere. Furthermore, we also obtain their best constants. Our results can be regarded as the extension of Xiao’s (J. Math. Inequal...

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Bibliographic Details
Main Authors: Xiaomei Sun, Fan Pan
Format: Article
Language:English
Published: SpringerOpen 2017-06-01
Series:Journal of Inequalities and Applications
Subjects:
Online Access:http://link.springer.com/article/10.1186/s13660-017-1424-x