supported by Austrian Science Fund Project(Grant No.P23639-N18);National Natural Science Foundation of China(Grant No.11371239)
Continuous, SL(n) and translation invariant real-valued valuations on Sobolev spaces are classified.The centro-affine Hadwiger's theorem is applied. In the homogeneous case, these valuations turn out to be L^p-norms r...
supported by National Natural Science Foundation of China (Grant No. 11371239);Shanghai Leading Academic Discipline Project (Grant No. J50101);the Research Fund for the Doctoral Programs of Higher Education of China (Grant No. 20123108110001).
Using M-addition,an asymmetric Orlicz centroid inequality for absolutely continuous probability measures is established corresponding to Paouris and Pivovarov’s recent result on the symmetric case.As an application,w...