Author

Zi-Peng Wang

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Preprint Oct 2026

Two-parameter Toeplitz-type operators between Fock spaces

We introduce and study a two-parameter family of Toeplitz-type operators $T^{(s,t)}_\varphi$ on the Fock space $F^p(C)$ for $0<p\leq\infty$. For all $0<p, q \leq\infty$ we obtain sharp conditions for $\varphi$ such that $T^{(s,t)}_\varphi: F^p(C)\to F^q(C)$ is bounded or compact. In the Hilbert space case $T^{(s,t)}_\v...

Xing-Tang Dong, Zi-Peng Wang, Ke-He Zhu · 0 citations

Preprint Aug 2026

Compact Toeplitz operators via the Berezin transform on radial weighted Bergman spaces

Let $\omega$ be a radial $\widehat{\mathcal D}$-weight and $u$ be a bounded function on the unit disk $\mathbb D$. We prove that the Toeplitz operator $T_{\omega,u}$ is compact on $A_\omega^2$ if and only if its Berezin transform vanishes at the boundary. Our approach is based on a polynomial frame for $A_\omega^2$...

Yuerang Li, Zi-Peng Wang · 1 citation