2011•Journal of MathematicsRequires access

POINT-DENSITY MEASURE OF MEASURES ABSOLUTELY CONTINUOUS TO SELF-SIMILAR MEASURE

Yi Wang

Abstract

In this paper,the author investigates a class of probability measures absolutely continuous to self-similar measure.Under the strong separation condition,the author determines the point density-measure of them by using iterated function system,quantization coefficient and Holder inequality.This result extends the former result on Lebesgue measures.

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Key concepts: Mathematics, Absolute continuity, Measure (data warehouse), σ-finite measure, Lebesgue measure, Probability measure, Lebesgue integration, Lebesgue–Stieltjes integration