The Bergman kernel on uniformly extendable pseudoconvex domains
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Publication:1069000
DOI10.1007/BF01450734zbMath0582.32028MaRDI QIDQ1069000
Gregor Herbort, Klas Diederich, Takeo Ohsawa
Publication date: 1986
Published in: Mathematische Annalen (Search for Journal in Brave)
Full work available at URL: https://eudml.org/doc/164069
Boundary behavior of holomorphic functions of several complex variables (32A40) Integral representations; canonical kernels (Szeg?, Bergman, etc.) (32A25) Pseudoconvex domains (32T99)
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Estimates of the Bergman kernel function on certain pseudoconvex domains in \(\mathbb{C}^ n\), On the invariant differential metrics near pseudoconvex boundary points where the Levi form has corank one, On the extension of \(L^ 2\) holomorphic functions. III: Negligible weights, Extension and restriction of holomorphic functions, Extension of holomorphic L2-functions with weighted growth conditions, On the bergman kernel of hyperconvex domains, Integral solution operators for the Cauchy-Riemann equations on pseudoconvex domains, Estimates on the Bergman kernels in a tangential direction on pseudoconvex domains in \(\mathbb{C}^3\), On the growth of the Bergman metric near a point of infinite type, A survey on the \(L^2\) extension theorems, Geometric and analytic boundary invariants on pseudoconvex domains. Comparison results, Geometry of pseudo-convex domains of finite type with locally diagonalizable Levi form and Bergman kernel, On the growth of the Bergman kernel near an infinite-type point, Bergman kernel and complex singularity exponent, On the extension of \(L^ 2\) holomorphic functions, Weighted Boundary Limits of the Generalized Kobayashi-Royden Metrics on Weakly Pseudoconvex Domains, The growth of the bergman kernel on pseudoconvex domains of homogeneous finite diagonal type, Weights of holomorphic extension and restriction, On the parameter dependence of solutions to the \(\bar\partial\)-equation, Asymptotic expansion of the Bergman kernel for weakly pseudoconvex tube domains in \(\mathbb{C}^2\), Estimates on the Bergman kernels on pseudoconvex domains with comparable Levi-forms
Cites Work
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- Boundary behavior of the Bergman kernel function on pseudoconvex domains
- On complete Kähler domains with \(C^ 1-\)boundary
- The Bergman kernel and biholomorphic mappings of pseudoconvex domains
- Logarithmic growth of the Bergman kernel for weakly pseudoconvex domains in \({\mathbb C}^ 3\) of finite type
- \(L^ 2\) estimates and existence theorems for the \(\partial\)-operator
- Boundary behavior of \(\bar \partial\) on weakly pseudo-convex manifolds of dimension two
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