On holomorphic functions of slow growth on coverings of strongly pseudoconvex manifolds

DOI10.1016/j.jfa.2007.03.020zbMath1234.32003OpenAlexW2058801878MaRDI QIDQ996249

Alexander Brudnyi

Publication date: 13 September 2007

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jfa.2007.03.020

zbMATH Keywords

coveringstrongly pseudoconvex manifoldholomorphic \(L^2\) function

Mathematics Subject Classification ID

Embedding of analytic spaces (32C22) Other spaces of holomorphic functions of several complex variables (e.g., bounded mean oscillation (BMOA), vanishing mean oscillation (VMOA)) (32A37) Topological aspects of complex manifolds (32Q55) Strongly pseudoconvex domains (32T15)

Related Items (5)

Towards Oka-Cartan theory for algebras of holomorphic functions on coverings of Stein manifolds. II ⋮ The Levi problem on strongly pseudoconvex \(G\)-bundles ⋮ Towards Oka-Cartan theory for algebras of holomorphic functions on coverings of Stein manifolds. I. ⋮ Unitary representations of unimodular Lie groups in Bergman spaces ⋮ Holomorphic $L^{p}$-functions on coverings of strongly pseudoconvex manifolds

Cites Work

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• Resolution of singularities of an algebraic variety over a field of characteristic zero. I
• Imbedding of Holomorphically Complete Complex Spaces
• Holomorphic $L^{p}$-functions on coverings of strongly pseudoconvex manifolds
• 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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