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- W2890941578 abstract "We establish Marstrand-type as well as Besicovich-Federer-type projection theorems for closest-point projections onto hyperplanes in the normed space $mathbb{R}^{n}$. In particular, we prove that if a norm on $mathbb{R}^{n}$ is $C^{1,1}$-regular, then the analogues of the well-known statements from the Euclidean setting hold. On the other hand, we construct an example of a $C^{1}$-regular norm in $mathbb{R}^2$ for which Marstrand-type theorems fail." @default.
- W2890941578 created "2018-09-27" @default.
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- W2890941578 date "2018-09-03" @default.
- W2890941578 modified "2023-09-22" @default.
- W2890941578 title "Marstrand-type projection theorems for linear projections and in normed spaces" @default.
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