13 citations · 14 across the 5 of their papers we have counts for
6 papers
-weighted dual curvature measures
Qingzhong Huang, Ai-Jun Li
We study (p,q)-weighted dual curvature measures associated with a fixed nonnegative locally integrable Borel density satisfying a trace-regularity condition. These measures arise n…
Dual John ellipsoids for general measures
Ai-Jun Li, Baihe Liu, Qingzhong Huang
The dual John ellipsoids form a family that includes the origin-centered Löwner and Legendre ellipsoids. In this paper, we extend this family to general measures within the d…
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…
Anisotropic versions of the Brezis-Van Schaftingen-Yung approach at and
Qingsong Gu, Qingzhong Huang
In 2014, Ludwig showed the limiting behavior of the anisotropic Gagliardo -seminorm of a function as and , which extend the results due t…
Mean width inequalities of sections and projections for isotropic measures
Ai-Jun Li, Qingzhong Huang
In this paper, we establish mean width inequalities of sections and projections of convex bodies for isotropic measures with complete equality conditions, which extends the recent…
On the Musielak-Orlicz-Gauss image problem
Qingzhong Huang, Sudan Xing, Deping Ye +1
In the present paper we initiate the study of the Musielak-Orlicz-Brunn-Minkowski theory for convex bodies. In particular, we develop the Musielak-Orlicz-Gauss image problem aiming…