Two Measures on Cantor Sets

Abstract

We give an example of Cantor type set for which its equilibrium measure and the corresponding Hausdorff measure are mutually absolutely continuous. Also we show that these two measures are regular in Stahl-Totik sense.

Cited by in corpus (2)

• Orthogonal polynomials for the weakly equilibrium Cantor sets
• Spacing properties of the zeros of orthogonal polynomials on Cantor sets via a sequence of polynomial mappings