Sun Xiaomei, Pan Fan
College of Science, Huazhong Agricultural University, Wuhan, 430070 China.
J Inequal Appl. 2017;2017(1):148. doi: 10.1186/s13660-017-1424-x. Epub 2017 Jun 24.
In this paper, we consider the [Formula: see text]-Hardy inequalities on the sphere. By the divergence theorem, we establish the [Formula: see text]-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. 10:793-805, 2016).
在本文中，我们考虑球面上的[公式：见原文]-哈代不等式。通过散度定理，我们建立了球面上的[公式：见原文]-哈代不等式。此外，我们还得到了它们的最佳常数。我们的结果可视为肖（《数学不等式杂志》10：793 - 805，2016）的结果的推广。
