Jiale Chen

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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 $I^\pm > 0$ . Let $T_{I ¨} $ be the Toeplitz operator on the Fock space $F_{I^}^{2} \pm$ over $\mathbb…

math.FA2024

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

Jiale Chen

Let $0 < I^\pm, I^^{2}, t < \infty$ and $I^¼$ be a positive Borel measure on $C^{n}$ . We consider the Berezin-type operator $S_{I^}^{t, I^\pm, I^^{2}} ¼$ defined by $$S^{t,Î±,Î²}_Î¼f(z):=\left(\int_{\…

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 $I^¼$ on the unit ball $B_{n}$ of $C^{n}$ such that the Carleson embedding from holomorphic Hardy…

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

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