On the invariant differential metrics near pseudoconvex boundary points where the Levi form has corank one

DOI10.1017/S0027763000004414zbMath0773.32015OpenAlexW1551594977MaRDI QIDQ5288119

Gregor Herbort

Publication date: 10 August 1993

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

Full work available at URL: https://doi.org/10.1017/s0027763000004414

zbMATH Keywords

plurisubharmonic functionsCauchy-Riemann equationsbumping lemma

Mathematics Subject Classification ID

Invariant metrics and pseudodistances in several complex variables (32F45) (overlinepartial) and (overlinepartial)-Neumann operators (32W05) Integral representations; canonical kernels (Szeg?, Bergman, etc.) (32A25) Pseudoconvex domains (32T99)

Related Items

Estimates of the Bergman kernel function on certain pseudoconvex domains in \(\mathbb{C}^ n\) ⋮ On the extension of \(L^ 2\) holomorphic functions. III: Negligible weights ⋮ Erratum to my paper: On the invariant differential metrics near pseudoconvex boundary points where the Levi form has corank one ⋮ Some regularity theorems for CR mappings ⋮ Estimates of invariant metrics on pseudoconvex domains of finite type in \(\mathbb{C}^3\) ⋮ Geometry of pseudo-convex domains of finite type with locally diagonalizable Levi form and Bergman kernel ⋮ Bounds for invariant distances on pseudoconvex Levi corank one domains and applications ⋮ Asymptotic expansion of the Bergman kernel for weakly pseudoconvex tube domains in \(\mathbb{C}^2\) ⋮ Estimation on invariant distances on pseudoconvex domains of finite type in dimension two

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