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摘要
In this paper we extend the concepts of Lp-mixed volumes and 4-surface area measures to 4-mixed p-measures and 4-surface p-area measures, respectively, for a measure on R-n. We give an integral representation and discuss some inequalities for the 4-surface p-area measure. The Lp-Minkowski and Lp-Brunn-Minkowski inequalities for measures are proved. Moreover, we also show the existence theorem of the related Lp-Minkowski problem for measures.
- 出版日期2017-8
- 单位西南大学
