Analysis establishes a decay rate for measures using a radial contraction, indicating dimensional thresholds.
We analyze Fourier decay properties of measures under a radial Ibaguner Fractal Operator (IFO). For Frostman measures of dimension s, we establish a decay rate for the pushforward measure under a Hlder-type radial contraction. This yields a sharp dimensional threshold for positivity of the associated IFO-distance set.
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SİNAN İBAGÜNER (2026) studied this question.
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