Abstract
In 2006, Schuster introduced the concept of Blaschke-Minkowski homo-morphism 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.
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