Maximal operators and Fourier transforms of self-similar measures

Yong Lin and Huo-Jun Ruan

Chaos, Solitons & Fractals, 2006, vol. 27, issue 1, 121-126

Abstract: A self-similar measure on Rn is defined to be a probability measure satisfyingμ=∑j=1Npjμ∘Sj-1+∑j=1Mqj(μ∗μ)∘Tj-1,where Sjx=ρjRjx+bj, Tjx=ηjQjx+cj are contractive similarities, 0<ρj<1,0<ηj<12,0Date: 2006
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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:27:y:2006:i:1:p:121-126

DOI: 10.1016/j.chaos.2005.02.038

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