TWO THEOREMS ON THE FOCK-BARGMANN-HARTOGS DOMAINS

Kodama, Akio; Shimizu, Satoru

doi:https://doi.org/10.18910/73626

TWO THEOREMS ON THE FOCK-BARGMANN-HARTOGS DOMAINS

Kodama, Akio; Shimizu, Satoru

Osaka Journal of Mathematics, 2019, 56(4), 739-757

アクセス数:518件（2025-09-19 09:32 集計）

固定URL: https://doi.org/10.18910/73626

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タイトル	TWO THEOREMS ON THE FOCK-BARGMANN-HARTOGS DOMAINS
著者	NRID 1000020111320 1000020111320 著者名 Kodama, Akio
著者	NRID 1000090178971 1000090178971 著者名 Shimizu, Satoru
抄録	In this paper, we prove two mutually independent theorems on the family of Fock-Bargmann-Hartogs domains. Let D₁ and D₂ be two Fock-Bargmann-Hartogs domains in C＾<N₁> and C＾<N₂>, respectively. In Theorem 1, we obtain a complete description of an arbitrarily given proper holomorphic mapping between D₁ and D₂ in the case where N₁= N₂. Also, we shall give a geometric interpretation of Theorem 1. And, in Theorem 2, we determine the structure of Aut(D₁× D₂) using the data of Aut(D₁) and Aut(D₂) for arbitrary N₁ and N₂.
出版者	Osaka University and Osaka City University, Departments of Mathematics
収録物名	Osaka Journal of Mathematics
巻(号)	56(4)
ページ	739-757
刊行年月	2019-10
言語	英語
ハンドルURL	https://hdl.handle.net/11094/73626
DOI	https://doi.org/10.18910/73626
PISSN	00306126
NCID	AA00765910
アクセス権	open access
出版タイプ	Version of Record
カテゴリ	紀要論文 Departmental Bulletin Paper
カテゴリ	Osaka Journal of Mathematics / Volume 56, Number 4 （2019-10）

資源タイプ	紀要論文
ローカル資源タイプ	紀要論文
DCMI資源タイプ	text
DCTERMS.bibliographicCitation	Osaka Journal of Mathematics. 2019, 56(4), p. 739-757
DC.title	TWO THEOREMS ON THE FOCK-BARGMANN-HARTOGS DOMAINS
DC.creator	Kodama, Akio
DC.creator	Shimizu, Satoru
DC.publisher	Osaka University and Osaka City University, Departments of Mathematics
DC.language' scheme='DCTERMS.RFC1766	英語
DC.type' scheme='DCTERMS.DCMIType	text
DCTERMS.issued' scheme='DCTERMS.W3CDTF	2019-10
DCTERMS.abstract	In this paper, we prove two mutually independent theorems on the family of Fock-Bargmann-Hartogs domains. Let D₁ and D₂ be two Fock-Bargmann-Hartogs domains in C＾<N₁> and C＾<N₂>, respectively. In Theorem 1, we obtain a complete description of an arbitrarily given proper holomorphic mapping between D₁ and D₂ in the case where N₁= N₂. Also, we shall give a geometric interpretation of Theorem 1. And, in Theorem 2, we determine the structure of Aut(D₁× D₂) using the data of Aut(D₁) and Aut(D₂) for arbitrary N₁ and N₂.
DC.identifier	10.18910/73626
DC.format	73626
citation_title	TWO THEOREMS ON THE FOCK-BARGMANN-HARTOGS DOMAINS
citation_author	Kodama, Akio
citation_author	Shimizu, Satoru
citation_publisher	Osaka University and Osaka City University, Departments of Mathematics
citation_language	英語
citation_date	2019-10
citation_journal_title	Osaka Journal of Mathematics
citation_volume	56
citation_issue	4
citation_firstpage	739
citation_lastpage	757
citation_public_url	https://hdl.handle.net/11094/73626
citation_doi_detail	10.18910/73626
citation_doi	https://doi.org/10.18910/73626

TWO THEOREMS ON THE FOCK-BARGMANN-HARTOGS DOMAINS

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