Local conical dimensions for measures
classification
🧮 math.CA
keywords
conesdimensionslocalmeasuresalmostapplicationaroundcalculated
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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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