Holomorphic $L^{p}$-functions on coverings of strongly pseudoconvex manifolds

DOI10.1090/S0002-9939-08-09563-4zbMath1165.32014arXiv0712.4302MaRDI QIDQ3600603

Alexander Brudnyi

Publication date: 5 February 2009

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0712.4302

zbMATH Keywords

coveringBanach vector bundlestrictly pseudoconvex manifoldholomorphic \(L^{p}\)-function

Mathematics Subject Classification ID

Banach spaces of continuous, differentiable or analytic functions (46E15) Complex manifolds (32Q99) Holomorphic bundles and generalizations (32L05) Strongly pseudoconvex domains (32T15)

Related Items (4)

Towards Oka-Cartan theory for algebras of holomorphic functions on coverings of Stein manifolds. II ⋮ Towards Oka-Cartan theory for algebras of holomorphic functions on coverings of Stein manifolds. I. ⋮ On holomorphic functions of slow growth on coverings of strongly pseudoconvex manifolds ⋮ The \(G\)-Fredholm property of the \(\bar{\partial}\)-Neumann problem

Cites Work

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• On holomorphic \(L^2\) functions on coverings of strongly pseudoconvex manifolds
• On holomorphic functions of slow growth on coverings of strongly pseudoconvex manifolds
• Holomorphic \(L^2\) functions on coverings of pseudoconvex manifolds
• Representation of holomorphic functions on coverings of pseudoconvex domains in Stein manifolds via integral formulas on these domains
• On analytic fiber bundles. I: Holomorphic fiber bundles with infinite dimensional fibers
• Hartogs Type Theorems for CR L² Functions on Coverings of Strongly Pseudoconvex Manifolds

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