\(L^p\) estimates for the Bergman projection on generalized Fock spaces. (English) Zbl 1537.32010
Summary: We obtain \(L^p\) bounds for the Bergman projection \(P_{\varphi}\) on \(\mathbb{C}^n\) for a class of weights \(\varphi\) whose complex Hessian has comparable eigenvalues. This relies on an extension of the estimate on the Bergman kernel obtained previously by G. M. Dall’Ara [Adv. Math. 285, 1706–1740 (2015; Zbl 1329.32022)].
MSC:
| 32A25 | Integral representations; canonical kernels (Szegő, Bergman, etc.) |
| 32A36 | Bergman spaces of functions in several complex variables |
Citations:
Zbl 1329.32022References:
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