31 citations · 50 across the 13 of their papers we have counts for
Showing 2022Show all
3 papers · 1 filter
math.MG2022★ 1 cited
Dual curvature measures for log-concave functions
Yong Huang, Jiaqian Liu, Dongmeng Xi +1
We introduce dual curvature measures for log-concave functions, which in the case of characteristic functions recover the dual curvature measures for convex bodies introduced by Hu…
math.MG2022★ 13 cited
On the sine polarity and the -sine Blaschke-Santaló inequality
Qingzhong Huang, Ai-Jun Li, Dongmeng Xi +1
This paper is dedicated to study the sine version of polar bodies and establish the -sine Blaschke-Santaló inequality for the -sine centroid body. The -sine centroid…
math.FA2022
The case of equality in geometric instances of Barthe's reverse Brascamp-Lieb inequalit
Karoly J. Boroczky, Pavlos Kalantzopoulos, Dongmeng Xi
The works of Bennett, Carbery, Christ, Tao and of Valdimarsson have clarified when equality holds in the Brascamp-Lieb inequality. Here we characterize the case of equality in the…