Let N ⩾ 2 and ρ ∈ (0, 1/N2]. The homogenous Cantor set E is the self-similar generated by iterated function system s = dimH be Hausdorff dimension of E, let s-dimensional measure restricted to E. In this paper we describe, for each x pointwise lower s-density upper Θ∗s(μ, x) μ at x. This extends some early results Feng et al (2000 J. Math. Anal. Appl. 250 692–705). Furthermore, determine two cr...
