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math.FA2004★ 5 cited
Tangential dimensions II. Measures
Daniele Guido, Tommaso Isola
Notions of (pointwise) tangential dimension are considered, for measures of R^n. Under regularity conditions (volume doubling), the upper resp. lower dimension at a point x of a me…
math.FA2003★ 5 cited
Tangential dimensions I. Metric spaces
Daniele Guido, Tommaso Isola
Pointwise tangential dimensions are introduced for metric spaces. Under regularity conditions, the upper, resp. lower, tangential dimensions of X at x can be defined as the supremu…