Abstract
This paper serves two purposes. One is to modify Strichartz's results with respect to the asymptotic averages of the Fourier transform of μ onR, self-similar measure defined by Hutchinson. Another purpose is to consider a singular integral operator on μ and show that this operator is of type (p,p)(1<p<∞).
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References
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Baoyi, W., Weiyi, S. Fourier transformation and singular integrals on self-similar measure. Approx. Theory & its Appl. 14, 102–114 (1998). https://doi.org/10.1007/BF02856153
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DOI: https://doi.org/10.1007/BF02856153