Lower quantization coefficient and the F-conformal measure
Mrinal Kanti Roychowdhury (2011)
Colloquium Mathematicae
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Let be a family of Hölder continuous functions and let be a conformal iterated function system. Lindsay and Mauldin’s paper [Nonlinearity 15 (2002)] left an open question whether the lower quantization coefficient for the F-conformal measure on a conformal iterated funcion system satisfying the open set condition is positive. This question was positively answered by Zhu. The goal of this paper is to present a different proof of this result.