$L^p$ regularity of weighted Bergman projection on Fock-Bargmann-Hartogs domain

Le He, Yanyan Tang, Zhenhan Tu

The Fock-Bargmann-Hartogs domain $D_{n,m}(\mu )$ is defined by $$D_{n,m}(\mu ):=\{(z,w)\in {\mathbb{C}}^n\times {\mathbb{C}}^m:\Vert w{\Vert }^2<e^{-\mu \Vert z{\Vert }^2}\},$$ where $\mu >0.$ The…