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arXiv · 1903.08429

Composition operators on spaces of double Dirichlet series

Frédéric Bayart·Jaime Castillo-Medina·Domingo García·Manuel Maestre·Pablo Sevilla-Peris
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Abstract

We study composition operators on spaces of double Dirichlet series, focusing our interest on the characterization of the composition operators of the space of bounded double Dirichlet series $\HCdos$. We also show how the composition operators of this space of Dirichlet series are related to the composition operators of the corresponding spaces of holomorphic functions. Finally, we give a characterization of the superposition operators in $\HC$ and in the spaces $\mathcal{H}^p$.

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Frédéric Bayart, Jaime Castillo-Medina, Domingo García, Manuel Maestre, Pablo Sevilla-Peris. 2019-03-20. Composition operators on spaces of double Dirichlet series. https://arxiv.org/abs/1903.08429

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