Guangfu Cao

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math.FA2026

Compactness of Toeplitz Operators on the Bergman Space

Guangfu Cao, Li He, Shuqing Zhang

Let $φ\in L^\infty(\D)$. We study compactness criteria for $T_φ$ on the Bergman space $A^2(\D)$. Axler and Zheng~\cite{AZ1998} established a necessary and sufficient condition fo…

math.FA2025

The essential norm of Toeplitz operators between Bergman spaces induced by doubling weights

Peiying Huang, Guangfu Cao

This paper investigates the essential norm of Toeplitz operators $T_{μ}$ acting from the Bergman space $A_{ω}^{p}$ to $A_{ω}^{q}$ ( $1 < p \leq q < \infty$ ) on the unit ball, where…