Every H1 function on a λ-Dirichlet group is almost everywhere the pointwise limit of its first Riesz means of any positive order, via a new weak-type maximal inequality.
Bayart: Hardy spaces of Dirichlet series and their compostion opera tors, Monatsh
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Riesz means in Hardy spaces on Dirichlet groups
Every H1 function on a λ-Dirichlet group is almost everywhere the pointwise limit of its first Riesz means of any positive order, via a new weak-type maximal inequality.