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arXiv · 2007.07548

Generalized Ces\`aro operators on Dirichlet-type spaces

Jianjun Jin·Shuan Tang
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Abstract

In this note, we introduce and study a new kind of generalized Ces\`aro operators $\mathcal{C}_{\mu}$, induced by a positive Borel measure $\mu$ on $[0, 1)$, between the Dirichlet-type spaces. We characterize the measures $\mu$ for which $\mathcal{C}_{\mu}$ is bounded (compact) from one Dirichlet-type space $\mathcal{D}_{\alpha}$ into another one $\mathcal{D}_{\beta}$.

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Jianjun Jin, Shuan Tang. 2020-07-15. Generalized Ces\`aro operators on Dirichlet-type spaces. https://arxiv.org/abs/2007.07548

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