Hausdorff Dimension, Projections, Intersections, and Besicovitch Sets

Hausdorff Dimension, Projections, Intersections, and Besicovitch Sets
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豪斯多夫维数、投影、交集和贝西科​​维奇集

DOI:
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发表时间:
2017
期刊:
New Trends in Applied Harmonic Analysis, Volume 2
影响因子:
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通讯作者:
P. Mattila
P. Mattila
中科院分区:
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文献类型:
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作者:
P. Mattila

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这是一个调查的Hausdorff维数的一般子集的欧氏空间的投影和交叉的最新发展,重点是估计的Hausdorff维数的例外集和限制投影家庭。我们还将讨论Besicovitch集的投影和Hausdorff维数之间的关系。
This is a survey on recent developments on the Hausdorff dimension of projections and intersections for general subsets of Euclidean spaces, with an emphasis on estimates of the Hausdorff dimension of exceptional sets and on restricted projection families. We shall also discuss relations between projections and Hausdorff dimension of Besicovitch sets.