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This article is cited in 7 scientific papers (total in 7 papers)
A note on the effect of projections on both measures and the generalization of $q$-dimension capacity
Bilel Selmi Faculty of sciences of Monastir, Department of mathematics,
Avenue of the environment 5019 Monastir, Tunisia
Abstract:
In this paper, we are concerned both with the properties of the generalization of the $L^q$-spectrum relatively to two Borel probability measures and with the generalized $q$-dimension Riesz capacity. We are also interested in the study of their behaviors under orthogonal projections.
Keywords:
orthogonal projection; Hausdorff measure and dimension; capacity; dimension spectra.
Received: 20.07.2016 Revised: 18.11.2016 Accepted: 02.12.2016
Citation:
Bilel Selmi, “A note on the effect of projections on both measures and the generalization of $q$-dimension capacity”, Probl. Anal. Issues Anal., 5(23):2 (2016), 38–51
Linking options:
https://www.mathnet.ru/eng/pa201 https://www.mathnet.ru/eng/pa/v23/i2/p38
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Abstract page: | 255 | Full-text PDF : | 66 | References: | 23 |
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