Jiale Chen

activity

20242026

collaborators

5 papers

math.CV2026

Embedding theorems and integration operators on Hardy--Carleson type tent spaces induced by doubling weights

Jiale Chen, Bin Liu

This paper develops the function and operator theory of Hardy--Carleson--type analytic tent spaces $A T_{q}^{\infty} (ω)$ induced by radial weights $ω$ satisfying a two-sided doubling co…

math.FA2025

Weighted theory of Toeplitz operators on the Fock spaces

Jiale Chen

We study the weighted compactness and boundedness of Toeplitz operators on the Fock spaces. Fix $α > 0$ . Let $T_{φ}$ be the Toeplitz operator on the Fock space $F_{α}^{2}$ over $\mathbb{C}…

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…

Embedding theorems and integration operators on Hardy--Carleson type tent spaces induced by doubling weights

Weighted theory of Toeplitz operators on the Fock spaces

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