Good and bad measures

Citation
P. Gurka et al., Good and bad measures, J LOND MATH, 61, 2000, pp. 123-138
Citations number
17
Categorie Soggetti
Mathematics
Journal title
JOURNAL OF THE LONDON MATHEMATICAL SOCIETY-SECOND SERIES
ISSN journal
00246107 → ACNP
Volume
61
Year of publication
2000
Part
1
Pages
123 - 138
Database
ISI
SICI code
0024-6107(200002)61:<123:GABM>2.0.ZU;2-N
Abstract
The commonly known properties of continuous measures such as the symmetry o f the A, condition, its equivalence to the reverse Holder inequality, the l eft-openness of the A, condition, etc., are no longer necessarily true when the underlying measure is allowed to have atoms. The measures that preserv e these properties are called good measures. The class of good measures is investigated and various criteria for a measure to belong to this class are presented.