Jiale Chen

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20242026

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3 papers · 2 filters

math.FA2024

A class of Berezin-type operators on weighted Fock spaces with $A_{\infty}$ -type weights

Jiale Chen

Let $0 < α, β, t < \infty$ and $μ$ be a positive Borel measure on $C^{n}$ . We consider the Berezin-type operator $S_{μ}^{t, α, β}$ defined by $$S^{t,α,β}_μf(z):=\left(\int_{\mathbb{C}…

math.FA2024

Tent Carleson measures and superposition operators on Hardy type tent spaces

Jiale Chen

In this paper, we completely characterize the positive Borel measures $μ$ on the unit ball $B_{n}$ of $C^{n}$ such that the Carleson embedding from holomorphic Hardy…

math.FA2024

Volterra operators between Hardy spaces of vector-valued Dirichlet series

Jiale Chen

Let $2 \leq p < \infty$ and $X$ be a complex infinite-dimensional Banach space. It is proved that if $X$ is $p$ -uniformly PL-convex, then there is no nontrivial bounded Volterra opera…

A class of Berezin-type operators on weighted Fock spaces with A∞​-type weights

Tent Carleson measures and superposition operators on Hardy type tent spaces

Volterra operators between Hardy spaces of vector-valued Dirichlet series

A class of Berezin-type operators on weighted Fock spaces with $A_{\infty}$ -type weights