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Spectral asymptotics of the Sturm-Liouville problem with a singularself-conformal weight measure is considered. A stronger version of the boundeddistortion property is assumed for the conformal iterated function systemcorresponding to the weight measure. Under this restrictions the power exponentof the main term of the eigenvalue counting function asymptotics is obtained.This generalizes the result obtained by T. Fujita (Taniguchi Symp. PMMP Katata,1985) in the case of self-similar (self-affine) measure.

On spectral asymptotics of the Sturm-Liouville problem with self-conformal singular weight