102 citations · 498 across the 36 of their papers we have counts for
5 papers · 1 filter
Anisotropic Sobolev Capacity with Fractional Order
Jie Xiao, Deping Ye
In this paper, we introduce the anisotropic Sobolev capacity with fractional order and develop some basic properties for this new object. Applications to the theory of anisotropic…
The Dual Orlicz-Brunn-Minkowski Theory
Richard J. Gardner, Daniel Hug, Wolfgang Weil +1
This paper introduces the dual Orlicz-Brunn-Minkowski theory for star sets. A radial Orlicz addition of two or more star sets is proposed and a corresponding dual Orlicz-Brunn-Mink…
Dual Orlicz-Brunn-Minkowski theory: dual Orlicz affine and geominimal surface areas
Deping Ye
This paper aims to develop basic theory for the dual Orlicz affine and geominimal surface areas for star bodies, which belong to the recent dual Orlicz-Brunn-Minkowski theory…
Dual Orlicz-Brunn-Minkowski theory: Orlicz -radial addition, Orlicz -dual mixed volume and related inequalities
Deping Ye
This paper develops basic setting for the dual Orlicz-Brunn-Minkowski theory for star bodies. An Orlicz -radial addition of two or more star bodies is proposed and related dual…
New Orlicz Affine Isoperimetric Inequalities
Deping Ye
The Orlicz-Brunn-Minkowski theory receives considerable attention recently, and many results in the -Brunn-Minkowski theory have been extended to their Orlicz counterparts. Th…