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almost everywhere convergence 1cantor measure 1maximal operator 1mock fourier series 1spectral measure 1weak type (1 1 1

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1 paper

math.CA2026

Almost everywhere convergence of Mock Fourier series for the standard middle-fourth Cantor measure with respect to its canonical spectrum

Min-Wei Tang, Zhi-Yi Wu

The paper proves that the maximal operator for Mock Fourier series associated with the standard middle‑fourth Cantor measure is of weak type (1,1), establishing almost‑everywhere c…