Local homogeneity and dimensions of measures
نویسندگان
چکیده
منابع مشابه
Local Conical Dimensions for Measures
for μ-almost all points x ∈ R? Here the right-hand sides of (1.1) and (1.2) are denoted by dimloc(μ, x) and dimloc(μ, x), and they are the upper and lower local dimensions of the measure μ at x ∈ R, respectively. We prove that if C is a cone with opening angle at least π, then (1.1) and (1.2) hold for all measures μ and for μ-almost all x ∈ R. Moreover, (1.2) holds also for cones with small ope...
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ژورنال
عنوان ژورنال: ANNALI SCUOLA NORMALE SUPERIORE - CLASSE DI SCIENZE
سال: 2016
ISSN: 2036-2145,0391-173X
DOI: 10.2422/2036-2145.201504_001