On Some Fourier Asymptotes of Fractal Measures

Ashraf.S. Elshreif, Fathi M. DAWALBAIT, Logman A.S. Hamad


We give a condition for a quasi-regular set to satisfy certain density, if  is absolutely continuous with respect to  and an inequality was hold. We investigate a Fourier asymptotic of fractal measures with a sharp bound. For a continuous measure with a monotone discrete sequence a best estimate was proved.

Keywords: Maximal functions, Wiener’s Measures, Fractal Measures, quasi-regular

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ISSN (Paper)2224-719X ISSN (Online)2225-0638

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