Sobolev and Lipschitz estimates for weighted Bergman projections

DOI10.1017/S002776300000636XzbMath0896.32002OpenAlexW1941817094MaRDI QIDQ4386100

Bao Qin Li, Der-Chen E. Chang

Publication date: 26 April 1998

Published in: Nagoya Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s002776300000636x

zbMATH Keywords

Sobolev spaceLipschitz spaceBergman projectionfinite typedecoupled pseudo-convex domain

Mathematics Subject Classification ID

Other spaces of holomorphic functions of several complex variables (e.g., bounded mean oscillation (BMOA), vanishing mean oscillation (VMOA)) (32A37) Nevanlinna theory; growth estimates; other inequalities of several complex variables (32A22)

Related Items

On estimates for weighted Bergman projections ⋮ Weighted and boundary \(L^{p}\) estimates for solutions of the \(\overline{\partial}\)-equation on lineally convex domains of finite type and applications ⋮ Mapping properties of weighted Bergman projection operators on Reinhardt domains ⋮ A note on weighted Bergman spaces and the Cesaro Operator

Cites Work

• Balls and metrics defined by vector fields. I: Basic properties
• Estimates for the Bergman and Szegö kernels in \({\mathbb{C}}^ 2\)
• Boundary behavior of the Bergman kernel function in \({\mathbb{C}}^ 2\)
• The Szegö kernel in terms of Cauchy-Fantappie kernels
• Mapping properties of the Bergman projection on convex domains of finite type
• Estimates for the \(\bar \partial\)-Neumann problem in pseudoconvex domains of finite type in \(\mathbb{C}^ 2\)
• Estimates on the Bergman kernels of convex domains
• Boundary behavior of \(\bar \partial\) on weakly pseudo-convex manifolds of dimension two
• Estimates for the \documentclass{article}\pagestyle{empty}\begin{document}$ \mathop \partial \limits^ - _b $\end{document} complex and analysis on the heisenberg group
• Commutation properties and Lipschitz estimates for the Bergman and Szegö projections