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- W4247925911 abstract "Intersection bodies define a continuous and $GL(n)$ contravariant valuation which plays a crucial role in the solution of the Busemann-Petty problem. In this paper, we introduce the concept of $L_{p}$ radial Minkowski homomorphisms and consider the Busemann-Petty type problem whether $Phi_{p} K subseteq Phi_{p} L$ implies $V(K) leq V(L)$, where $Phi_{p}$ is a homogeneous of degree $displaystyle left(frac{n}{p}-1right)$, continuous operator on star bodies which is an $SO(n)$ equivariant valuation. Previous results by Schuster are generalized to a large class of $L_{p}$ radial valuations." @default.
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- W4247925911 date "2011-06-01" @default.
- W4247925911 modified "2023-10-17" @default.
- W4247925911 title "$L_p$ Radial Minkowski Homomorphisms" @default.
- W4247925911 doi "https://doi.org/10.11650/twjm/1500406294" @default.
- W4247925911 hasPublicationYear "2011" @default.
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