Thin and fat sets for doubling measures in metric spaces

• Autorzy: Tuomo Ojala , Tapio Rajala , Ville Suomala
• Języki publikacji: EN

Abstrakty

EN

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.

Kategorie tematyczne

• 28A12: Contents, measures, outer measures, capacities
• 30L10: Quasiconformal mappings in metric spaces

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Studia Mathematica
• Rocznik: 2012
• Tom: 208
• Numer: 3
• Strony: 195-211

Daty

wydano

2012

Twórcy

autor

Tuomo Ojala

• Department of Mathematics and Statistics, P.O. Box 35 (MaD), FI-40014 University of Jyväskylä, Finland

autor

Tapio Rajala

• Scuola Normale Superiore, Piazza dei Cavalieri 7, I-56127 Pisa, Italy

autor

Ville Suomala

• Department of Mathematical Sciences, P.O. Box 3000, FI-90014 University of Oulu, Finland

Identyfikatory

DOI

10.4064/sm208-3-1