\(L_ 2\) cohomology of the Bergman metric for weakly pseudoconvex domains
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Publication:1358725
zbMath0880.32007MaRDI QIDQ1358725
Publication date: 8 January 1998
Published in: Illinois Journal of Mathematics (Search for Journal in Brave)
Integral representations; canonical kernels (Szeg?, Bergman, etc.) (32A25) Pseudoconvex domains (32T99)
Related Items (20)
Some remarks on the Kobayashi-Fuks metric on strongly pseudoconvex domains ⋮ Infinite dimensionality of the middle \(L^2\)-cohomology on non-compact Kähler hyperbolic manifolds ⋮ A method of potential scaling in the study of pseudoconvex domains with noncompact automorphism group ⋮ The d-boundedness of the Bergman metric on a kind of Hartogs domain ⋮ Vanishing theorems on complete Riemannian manifold with a parallel 1‐form ⋮ A vanishing theorem on generalized Cartan-Hartogs domain of the second type ⋮ The method of potential rescaling: overview and the localization ⋮ A characterization of the unit ball by a Kähler-Einstein potential ⋮ A vanishing theorem on a class of Hartogs domain ⋮ Hankel operators on domains with bounded intrinsic geometry ⋮ On the Kähler hyperbolicity with respect to the Bergman metric on a class of Hartogs domains ⋮ Berezin quantization and \(K\)-homology ⋮ Invariant metric estimates for \(\overline\partial\) on some pseudoconvex domains ⋮ A Note on the Bergman metric of Bounded homogeneous Domains ⋮ On the problem of Kähler convexity in the Bergman metric ⋮ Compactness of the \(\overline{\partial} \)-Neumann problem on domains with bounded intrinsic geometry ⋮ \(L^2\)-cohomology vanishing theorem on a type of generalized Cartan-Hartogs domain ⋮ Geometry of domains with the uniform squeezing property ⋮ A certain K\"ahler potential of the Poincar\'e metric and its characterization ⋮ A sufficient condition for compactness of the \(\overline{\partial}\)-Neumann operator
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