Thin and fat sets for doubling measures in metric spaces

Details Thin and fat sets for doubling measures in metric spaces Thin and fat sets for doubling measures in metric spaces

2011-03-30

arxiv.org/abs/1103.5871v2

Studia Math. 208 (2012), 195-211

Mathematics

Classical Analysis and ODEs

Scientific paper

We consider sets in uniformly perfect metric spaces which are null for every
doubling measure of the space or which have positive measure for all doubling
measures. These sets are called thin and fat, respectively. In our main
results, we give sufficient conditions for certain cut-out sets being thin or
fat.

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