On holomorphic \(L^2\) functions on coverings of strongly pseudoconvex manifolds

DOI10.2977/prims/1201012376zbMath1157.32028arXivmath/0508237OpenAlexW1972103628MaRDI QIDQ945584

Alexander Brudnyi

Publication date: 12 September 2008

Published in: Publications of the Research Institute for Mathematical Sciences, Kyoto University (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0508237

zbMATH Keywords

coveringstrongly pseudoconvex manifoldholomorphic \(L^{2}\) function

Mathematics Subject Classification ID

Banach spaces of continuous, differentiable or analytic functions (46E15) Peak functions (32T40) Strongly pseudoconvex domains (32T15)

Related Items (5)

On the open immersion problem ⋮ The Levi problem on strongly pseudoconvex \(G\)-bundles ⋮ Unitary representations of unimodular Lie groups in Bergman spaces ⋮ Holomorphic $L^{p}$-functions on coverings of strongly pseudoconvex manifolds ⋮ Hartogs Type Theorems for CR L² Functions on Coverings of Strongly Pseudoconvex Manifolds

Cites Work

• On Levi's problem and the imbedding of real-analytic manifolds
• Holomorphic \(L^2\) functions on coverings of pseudoconvex manifolds
• Solvable matrix representations of Kähler groups.
• On the holomorphic convexity of reductive linear coverings of a projective complex algebraic manifold
• Metrics for singular analytic spaces
• Representation of holomorphic functions on coverings of pseudoconvex domains in Stein manifolds via integral formulas on these domains
• Imbedding of Holomorphically Complete Complex Spaces
• Estimations $\mathrm{L}^2$ pour l'opérateur $\bar \partial$ d'un fibré vectoriel holomorphe semi-positif au-dessus d'une variété kählérienne complète
• Holomorphic functions of slow growth on coverings of pseudoconvex domains in Stein manifolds
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