Geodesic
Thin and fat sets for doubling measures in metric spaces
Tuomo Ojala 1   ; Tapio Rajala 2   ; Ville Suomala 3
1 Department of Mathematics and Statistics P.O. Box 35 (MaD) FI-40014 University of Jyväskylä, Finland
2 Scuola Normale Superiore Piazza dei Cavalieri 7 I-56127 Pisa, Italy
3 Department of Mathematical Sciences P.O. Box 3000 FI-90014 University of Oulu, Finland
Studia Mathematica, Tome 208 (2012) no. 3, pp. 195-211 Cet article a éte moissonné depuis la source Institute of Mathematics Polish Academy of Sciences

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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.
DOI : 10.4064/sm208-3-1
Keywords: consider sets uniformly perfect metric spaces which null every doubling measure space which have positive measure doubling measures these sets called thin fat respectively main results sufficient conditions certain cut out sets being thin fat

Tuomo Ojala  1   ; Tapio Rajala  2   ; Ville Suomala  3

1 Department of Mathematics and Statistics P.O. Box 35 (MaD) FI-40014 University of Jyväskylä, Finland
2 Scuola Normale Superiore Piazza dei Cavalieri 7 I-56127 Pisa, Italy
3 Department of Mathematical Sciences P.O. Box 3000 FI-90014 University of Oulu, Finland 
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Tuomo Ojala; Tapio Rajala; Ville Suomala. Thin and fat sets for doubling measures in metric spaces. Studia Mathematica, Tome 208 (2012) no. 3, pp. 195-211. doi: 10.4064/sm208-3-1

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