Hausdorff dimension and projections related to intersections
نویسندگان
چکیده
For $S_g(x,y)=x-g(y), x,y\in\mathbb{R}^n, g\in O(n),$ we investigate the Lebesgue measure and Hausdorff dimension of $S_g(A)$ given $A$, both for general Borel subsets $\mathbb{R}^{2n}$ product sets.
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ژورنال
عنوان ژورنال: Publicacions Matematiques
سال: 2022
ISSN: ['2014-4350', '0214-1493']
DOI: https://doi.org/10.5565/publmat6612212