Article contents
Local conical dimensions for measures
Published online by Cambridge University Press: 07 February 2013
Abstract
We study the decay of μ(B(x,r)∩C)/μ(B(x,r)) as r ↓ 0 for different kinds of measures μ on ℝn and various cones C around x. As an application, we provide sufficient conditions that imply that the local dimensions can be calculated via cones almost everywhere.
- Type
- Research Article
- Information
- Mathematical Proceedings of the Cambridge Philosophical Society , Volume 154 , Issue 3 , May 2013 , pp. 465 - 479
- Copyright
- Copyright © Cambridge Philosophical Society 2013
References
REFERENCES
- 1
- Cited by