Preprint 90/2000

A Marstrand type theorem for measures with cube density in general dimension

Andrew Lorent

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Submission date: 09. Jan. 2001 (revised version: March 2003)
Pages: 36
published in: Mathematical proceedings of the Cambridge Philosophical Society, 137 (2004) 3, p. 657-696 
DOI number (of the published article): 10.1017/S0305004104007972
MSC-Numbers: 28A75
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Abstract:

With a view to generalising rectifiability and density results to more general spaces we prove the following: Let formula121 denote Hausdorff s measure in formula125. Let formula127. Let formula129 be a subset of positive locally finite Hausdorff s-measure with the property
displaymath133
then s is an integer and S has a weak tangent at almost every point.

17.10.2019, 02:11