The paper establishes weak (1,1) bounds for subsequence maximal operators tied to weighted Walsh-Fourier sums and gives explicit divergence criteria for several summability methods, including a Walsh analogue of the Leindler-Tandori theorem.
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Dyadic Martingale Transforms and Weighted Walsh-Carleson Operators
The paper establishes weak (1,1) bounds for subsequence maximal operators tied to weighted Walsh-Fourier sums and gives explicit divergence criteria for several summability methods, including a Walsh analogue of the Leindler-Tandori theorem.