6533b81ffe1ef96bd12770eb

RESEARCH PRODUCT

Thin and fat sets for doubling measures in metric spaces

Ville SuomalaTapio RajalaTuomo Ojala

subject

Discrete mathematics28A12 (Primary) 30L10 (Secondary)General MathematicsInjective metric space010102 general mathematicsNull (mathematics)Space (mathematics)01 natural sciencesMeasure (mathematics)Thin setIntrinsic metric010101 applied mathematicsMetric spaceMathematics - Classical Analysis and ODEsMetric (mathematics)Classical Analysis and ODEs (math.CA)FOS: Mathematics0101 mathematicsMathematics

description

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.

yearjournalcountryeditionlanguage
2011-03-30
https://dx.doi.org/10.48550/arxiv.1103.5871