Toeplitz operators on weighted Fock spaces with $A_{\infty}$-type weights

Jiale Chen

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arXiv · 2512.07145

Toeplitz operators on weighted Fock spaces with $A_{\infty}$-type weights

Jiale Chen

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Abstract

By establishing some reproducing kernel estimates, we characterize the bounded, compact and Schatten $p$-class Toeplitz operators with positive measure symbols on the weighted Fock space $F^2_{\alpha,w}$ for $p\geq1$, where $w$ is a weight on the complex plane satisfying an $A_{\infty}$-type condition. Applications to Volterra operators and weighted composition operators are given.

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BibTeX RIS

Jiale Chen. 2025-12-08. Toeplitz operators on weighted Fock spaces with $A_{\infty}$-type weights. https://arxiv.org/abs/2512.07145

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