Abstract
Let \({\mathcal {R}}\) be the separable hyperfinite factor of type \(\text {II}_1\). We show that for any bounded Vilenkin group, the sequence of partial sums of the corresponding noncommutative Vilenkin–Fourier series is a uniformly bounded family of weak type (1, 1) operators.
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The first named author was supported by an Australian Government Research Training Program (RTP) Scholarship.
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Scheckter, T.T., Sukochev, F. Weak Type Estimates for the Noncommutative Vilenkin–Fourier Series. Integr. Equ. Oper. Theory 90, 64 (2018). https://doi.org/10.1007/s00020-018-2489-8
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DOI: https://doi.org/10.1007/s00020-018-2489-8