2 papers
math.AP2026
Fractional Sobolev-type embedding on CR sphere and Heisenberg group
Zongxiong Ren, Zhipeng Yang
This paper studies critical fractional Sobolev inequalities with lower-order terms on the standard CR sphere . Let , let , let , and let…
math.AP2026
Improved Sobolev Inequalities on the Quaternionic Sphere
Zongxiong Ren, Zhipeng Yang
In this paper we establish improved Sobolev inequalities on the quaternionic sphere under higher-order moment vanishing conditions with respect to the measure \(|u|^{p^*}\,dξ\). As…