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Mera Rivas, Maria Eugenia and Morán Cabré, Manuel (2000) Attainable values for upper porosities of measures. Real Analysis Exchange, 26 (1). pp. 101-116. ISSN 0147-1937
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Official URL: https://projecteuclid.org/euclid.rae/1230939148
Abstract
In this paper we introduce two definitions of upper porosity of a measure which range from 0 to (1/2) and from 0 to 1 respectively, and prove that actually the first porosity only can take the extreme values 0 or (1/2), and the second one takes either the value 0 or the values (1/2) or 1. The other main result of this paper says that any measure μ which does not satisfy the doubling condition μ-a.e. has a maximal porosity.
Item Type: | Article |
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Uncontrolled Keywords: | Doubling condition; Porosity of Stes; Porosity of Measures; Tangent measures. |
Subjects: | Sciences > Mathematics |
ID Code: | 58883 |
Deposited On: | 17 Feb 2020 13:43 |
Last Modified: | 17 Feb 2020 13:43 |
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