An heterogeneous ubiquity theorem, application to self-similar measures with overlaps
Abstract
In this article, one investigates in a very general frame mass transference principles from ball to arbitrary open sets when the sequence of balls is distributed according to a finite measure. As an application of the main theorem, a mass transference principle is established when the measure is self-similar with no separation conditions.
- Publication:
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arXiv e-prints
- Pub Date:
- April 2022
- DOI:
- 10.48550/arXiv.2204.01302
- arXiv:
- arXiv:2204.01302
- Bibcode:
- 2022arXiv220401302D
- Keywords:
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- Mathematics - Metric Geometry