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arXiv · 2004.04087

Volterra operators and Hankel forms on Bergman spaces of Dirichlet series

H. Bommier-Hato
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Abstract

For a Dirichlet series g, we study the Volterra operator Tg of symbol g, acting on a class of weighted Hilbert spaces of Dirichlet series. We obtain sufficient / necessary conditions for Tg to be bounded (resp. compact), involving BMO and Bloch type spaces on some half-plane. We also investigate the membership of Tg in Schatten classes. We also relate the boundedness of Tg to the boundedness of a multiplicative Hankel form of symbol g.

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H. Bommier-Hato. 2020-04-08. Volterra operators and Hankel forms on Bergman spaces of Dirichlet series. https://arxiv.org/abs/2004.04087

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