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Uniform approximation of Muckenhoupt weights on fractals by simple functions
Volume 62, no. 1 (2021), pp. 57–66

Abstract

Given an $A_p$-Muckenhoupt weight on a fractal obtained as the attractor of an iterated function system, we construct a sequence of approximating weights, which are simple functions belonging uniformly to the $A_p$ class on the approximating spaces.