This article is cited 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.

UDC: 517.518.1, 517.518.126, 517.518.13

MSC: : 28A20, 28A75, 28A80, 31C15

Received: 20.07.2016
Revised: 18.11.2016
Accepted: 02.12.2016

Language: English

DOI: 10.15393/j3.art.2016.3290

Bibliographic databases:

• 
•