Characterizes weighted composition operators in Hardy spaces of Dirichlet series, indicating embedding conditions.
In this paper, we study properties of the infinitesimal generators of ‐semigroups of composition operators on Hardy spaces of Dirichlet series. We also characterize the ‐semigroups of weighted composition operators on by using abelian intertwiners of multiplication operators. Moreover, we establish a necessary and sufficient condition for embedding a weighted composition operator into a ‐semigroup on .
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Huang et al. (2026) studied this question.