3 papers
math.MG2026
The Minkowski problem of -affine dual curvature measures
Youjiang Lin, Yuchi Wu
For and a convex body with the origin in its interior, we construct the family of -affine dual curvature measures $\mathcal{I}…
math.FA2025
Affine fractional Lp Polya-Szego inequalities
Youjiang Lin, Jiaming Lan, Jinghong Zhou
Affine fractional Lp Polya-Szego inequalities for two functions on R^n are established, which are stronger than the Euclidean fractional Lp Polya-Szego inequalities.
math.FA2025
Generalized affine Hardy-Littlewood-Sobolev inequalities
Youjiang Lin, Jinghong Zhou, Jiaming Lan
We establishe an affine Hardy-Littlewood-Sobolev inequality concerning two different functions which is stronger than the classical Hardy-Littlewood-Sobolev inequality. Furthermore…