Time: 16:00-17:00 Monday, April 27, 2026
Venue: E14-212
Speaker: Prof. Aijun Li, Zhejiang University of Science and Technology
Title: Volume inequalities for weighted Lp-cosine and Lp-sine transforms
Abstract: In this talk, we establish sharp volume inequalities for the weighted Lp-cosine and Lp-sine transforms of Borel measures on the unit sphere in 
^n for all 1 ≤p ≤ ∞. These results directly yield the sine analogues of classical Lp isoperimetric inequalities, namely, the Lp-sine Petty projection inequality, the Lp-sine BusemannPetty centroid inequality, and the Lp-sine Blaschke-Santaló inequality. The case p = ∞ is also investigated. Our proof is straightforward, based on a simple geometric intuition and the self-dual nature of spherical Radon transforms.
