A NOTE ON THE EFFECT OF PROJECTIONS ON BOTH MEASURES AND THE GENERALIZATION OF q-DIMENSION CAPACITY

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