3 papers
math.DG2024
SL(n) covariant matrix-valued valuations on Orlicz spaces
Chunna Zeng, Yu Lan
All continuous, SL(n) covariant valuations on Orlicz spaces are completely classified without any symmetric assumptions. It is shown that the moment matrix is the only such valuati…
math.DG2024
SL(n) covariant vector-valued valuations on Orlicz spaces
Chunna Zeng, Yu Lan
A representation theorem for continuous, SL(n) covariant vector-valued valuations on Orlicz spaces is established. Such valuations are uniquely characterized as moment vectors.
math.DG2024
SL(n) covariant matrix-valued valuations on Lp-spaces
Chunna Zeng, Yu Lan
A complete classification is established for continuous and SL(n) covariant matrix-valued valuations on Lp(Rn,|x|2dx). The assumption of matrix symmetry is eliminated. For n>2, suc…