2 papers
math.FA2025
Isoperimetric Inequality on Manifolds with Quadratically Decaying Curvature
Dangyang He
In this paper, we investigate the reverse improvement property of Sobolev inequalities on manifolds with quadratically decaying Ricci curvature. Specifically, we establish conditio…
math.AP2025
On the Riesz transform and its reverse inequality on manifolds with quadratically decaying curvature
Dangyang He
We study Riesz and reverse Riesz inequalities on manifolds whose Ricci curvature decays quadratically. First, we refine existing results on the boundedness of the Riesz transform b…