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Shephard type problem for <i>L<sub>p</sub></i>-mixed Blaschke-Minkowski homomorphisms
Abstract
In 2006, Schuster introduced the concept of Blaschke-Minkowski homomorphism of convex bodies. In this paper, we introduce the Lp-mixed Blaschke-Minkowski homomorphism in Lp-Brunn-Minkowski theory. We then further study the Shephard type problem involving an affirmative answer and two negative answers for Lp-mixed Blaschke-Minkowski homomorphism.