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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 . Let be the Toeplitz operator on the Fock space over $\mathbb{C}…
math.FA2024
A class of Berezin-type operators on weighted Fock spaces with -type weights
Jiale Chen
Let and be a positive Borel measure on . We consider the Berezin-type operator defined by $$S^{t,α,β}_μf(z):=\left(\int_{\mathbb{C}…