$$L^{p}$$ Estimates for the Bergman Projection on Generalized Fock Spaces

DOI10.1007/S12220-024-01618-5MaRDI QIDQ6491164

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Publication date: 24 April 2024

Published in: The Journal of Geometric Analysis (Search for Journal in Brave)

Mathematics Subject Classification ID

Bergman spaces of functions in several complex variables (32A36) Integral representations; canonical kernels (Szeg?, Bergman, etc.) (32A25)

Cites Work

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• Degenerate complex Monge-Ampère equations
• Smooth approximation of Lipschitz functions on Riemannian manifolds
• Compactness of the solution operator to \(\overline\partial\) in weighted \(L^{2}\)-spaces
• Pointwise estimates of weighted Bergman kernels in several complex variables
• Pointwise estimates for the Bergman kernel of the weighted Fock space
• On the \(\bar {\partial{}}\) equation in weighted \(L^ 2\) norms in \(\mathbb{C} ^ 1\)
• Pointwise estimates for the weighted Bergman projection kernel in \({\mathbb C}^n\), using a weighted \(L^2\) estimate for the \(\bar\partial\) equation
• Interpolating and sampling sequences for entire functions
• On fundamental solutions of generalized Schrödinger operators
• \(L^ p\) estimates for Schrödinger operators with certain potentials
• The \(\bar \partial\) Neumann problem and Schrödinger operators
• Parameter dependence of the Bergman kernels
• Sampling in weighted \(L^p\) spaces of entire functions in \(\mathbb{C}^n\) and estimates of the Bergman kernel

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