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Weighted L2 Holomorphic Functions on Ball-Fiber Bundles Over Compact Kähler Manifolds

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dc.contributor.authorSeungjae Lee-
dc.contributor.authorSeo, Aeryeong-
dc.date.accessioned2023-12-14T22:00:23Z-
dc.date.available2023-12-14T22:00:23Z-
dc.date.created2023-06-12-
dc.date.issued2023-07-
dc.identifier.issn1050-6926-
dc.identifier.urihttps://pr.ibs.re.kr/handle/8788114/14351-
dc.description.abstractLet M~ be a complex manifold, Γ be a torsion-free cocompact lattice of Aut (M~) and ρ: Γ → SU(N, 1) be a representation. Suppose that there exists a ρ -equivariant totally geodesic isometric holomorphic embedding (Formula presented.). In this paper, we investigate a relation between weighted L2 holomorphic functions on the fiber bundle Ω : = M× ρBN and the holomorphic sections of the pull-back bundle ı∗(SmTΣ∗) over M. In particular, Aα2(Ω) has infinite dimension for any α> - 1 and if n< N , then A-12(Ω) also has the same property. As an application, if Γ is a torsion-free cocompact lattice in (Formula presented.), and (Formula presented.) is a maximal representation, then for any α> - 1 , Aα2(Bn×ρBN) has infinite dimension. If n< N , then A-12(Bn×ρBN) also has the same property. © 2023, Mathematica Josephina, Inc.-
dc.language영어-
dc.publisherSpringer-
dc.titleWeighted L2 Holomorphic Functions on Ball-Fiber Bundles Over Compact Kähler Manifolds-
dc.typeArticle-
dc.type.rimsART-
dc.identifier.wosid000993264700001-
dc.identifier.scopusid2-s2.0-85160642793-
dc.identifier.rimsid80962-
dc.contributor.affiliatedAuthorSeungjae Lee-
dc.identifier.doi10.1007/s12220-023-01288-9-
dc.identifier.bibliographicCitationJournal of Geometric Analysis, v.33, no.7-
dc.relation.isPartOfJournal of Geometric Analysis-
dc.citation.titleJournal of Geometric Analysis-
dc.citation.volume33-
dc.citation.number7-
dc.type.docTypeArticle-
dc.description.journalClass1-
dc.description.journalClass1-
dc.description.isOpenAccessN-
dc.description.journalRegisteredClassscie-
dc.description.journalRegisteredClassscopus-
dc.relation.journalResearchAreaMathematics-
dc.relation.journalWebOfScienceCategoryMathematics-
dc.subject.keywordAuthorCompact submanifold in complex hyperbolic space forms-
dc.subject.keywordAuthorHolomorphic fiber bundles-
dc.subject.keywordAuthorL2 holomorphic functions-
dc.subject.keywordAuthor∂¯ -equations-
Appears in Collections:
Center for Complex Geometry (복소기하학 연구단) > 1. Journal Papers (저널논문)
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