Local conical dimensions for measures

Details Local conical dimensions for measures Local conical dimensions for measures

2012-04-26

arxiv.org/abs/1204.5886v1

Mathematics

Classical Analysis and ODEs

Scientific paper

We study the decay of $\mu(B(x,r)\cap C)/\mu(B(x,r))$ as $r\downarrow 0$ for
different kinds of measures $\mu$ on $\R^n$ and various cones $C$ around $x$.
As an application, we provide sufficient conditions implying that the local
dimensions can be calculated via cones almost everywhere.

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