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Quaestiones Mathematicae Volume 44, 2021 - Issue 9
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Research Article

Shephard Type Problem for Lp-mixed Blaschke-Minkowski homomorphisms

Bin Chena Department of Mathematics, Nanjing University of Science and Technology, Nanjing, China. E-Mail [email protected]View further author information
,
Weidong Wangb Three Gorges Mathematical Research Center, China Three Gorges University, Yichang, China. E-Mail [email protected]View further author information
&
Peibiao Zhaoc Department of Mathematics, Nanjing University of Science and Technology, Nanjing, ChinaCorrespondence[email protected]
View further author information
Pages 1219-1232 | Received 09 Jan 2020, Published online: 07 Jul 2020
 
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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.

Mathematics Subject Classification (2010):

Additional information

Funding

Research is supported in part by the Natural Science Foundation of China (No. 11871275; No. 11371194).

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