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Proper holomorphic mappings between generalized Hartogs triangles

2017
journal article
article
10.1007/s10231-016-0607-2
Journal
Annali di Matematica Pura ed Applicata
35
Author
Zapałowski Paweł
Volume
196
Number
3
Pages
1055-1071
ISSN
0373-3114
eISSN
1618-1891
Keywords in English

generalized Hartogs triangle

proper holomorphic mapping

group of automorphisms

complex ellipsoid

Language
English
Journal language
English
Abstract in English

Answering all questions-concerning proper holomorphic mappings between generalized Hartogs triangles-posed by Jarnicki and Plfug (First steps in several complex variables: Reinhardt domains, EMS Textbooks in Mathematics, European Mathematical Society Publishing House, 2008), we characterize the existence of proper holomorphic mappings between generalized Hartogs triangles and give their explicit form. In particular, we completely describe the group of holomorphic automorphisms of such domains and establish rigidity of proper holomorphic self-mappings on them. Moreover, we also complete the classification of proper holomorphic mappings in the class of complex ellipsoids which was initiated by Landucci and continued by Dini and Selvaggi Primicerio.

Affiliation
Wydział Matematyki i Informatyki : Instytut Matematyki
Scopus© citations
7
cris.lastimport.wos2024-04-09T23:16:57Z
dc.abstract.enAnswering all questions-concerning proper holomorphic mappings between generalized Hartogs triangles-posed by Jarnicki and Plfug (First steps in several complex variables: Reinhardt domains, EMS Textbooks in Mathematics, European Mathematical Society Publishing House, 2008), we characterize the existence of proper holomorphic mappings between generalized Hartogs triangles and give their explicit form. In particular, we completely describe the group of holomorphic automorphisms of such domains and establish rigidity of proper holomorphic self-mappings on them. Moreover, we also complete the classification of proper holomorphic mappings in the class of complex ellipsoids which was initiated by Landucci and continued by Dini and Selvaggi Primicerio.pl
dc.affiliationWydział Matematyki i Informatyki : Instytut Matematykipl
dc.contributor.authorZapałowski, Paweł - 132860 pl
dc.date.accessioned2017-05-29T14:03:09Z
dc.date.available2017-05-29T14:03:09Z
dc.date.issued2017pl
dc.date.openaccess0
dc.description.accesstimew momencie opublikowania
dc.description.number3pl
dc.description.physical1055-1071pl
dc.description.versionostateczna wersja wydawcy
dc.description.volume196pl
dc.identifier.doi10.1007/s10231-016-0607-2pl
dc.identifier.eissn1618-1891pl
dc.identifier.issn0373-3114pl
dc.identifier.urihttp://ruj.uj.edu.pl/xmlui/handle/item/40936
dc.languageengpl
dc.language.containerengpl
dc.rightsUdzielam licencji. Uznanie autorstwa 3.0 Polska*
dc.rights.licenceCC-BY
dc.rights.urihttp://creativecommons.org/licenses/by/3.0/pl/legalcode*
dc.share.typeinne
dc.subject.engeneralized Hartogs trianglepl
dc.subject.enproper holomorphic mappingpl
dc.subject.engroup of automorphismspl
dc.subject.encomplex ellipsoidpl
dc.subtypeArticlepl
dc.titleProper holomorphic mappings between generalized Hartogs trianglespl
dc.title.journalAnnali di Matematica Pura ed Applicatapl
dc.typeJournalArticlepl
dspace.entity.typePublication
cris.lastimport.wos
2024-04-09T23:16:57Z
dc.abstract.enpl
Answering all questions-concerning proper holomorphic mappings between generalized Hartogs triangles-posed by Jarnicki and Plfug (First steps in several complex variables: Reinhardt domains, EMS Textbooks in Mathematics, European Mathematical Society Publishing House, 2008), we characterize the existence of proper holomorphic mappings between generalized Hartogs triangles and give their explicit form. In particular, we completely describe the group of holomorphic automorphisms of such domains and establish rigidity of proper holomorphic self-mappings on them. Moreover, we also complete the classification of proper holomorphic mappings in the class of complex ellipsoids which was initiated by Landucci and continued by Dini and Selvaggi Primicerio.
dc.affiliationpl
Wydział Matematyki i Informatyki : Instytut Matematyki
dc.contributor.authorpl
Zapałowski, Paweł - 132860
dc.date.accessioned
2017-05-29T14:03:09Z
dc.date.available
2017-05-29T14:03:09Z
dc.date.issuedpl
2017
dc.date.openaccess
0
dc.description.accesstime
w momencie opublikowania
dc.description.numberpl
3
dc.description.physicalpl
1055-1071
dc.description.version
ostateczna wersja wydawcy
dc.description.volumepl
196
dc.identifier.doipl
10.1007/s10231-016-0607-2
dc.identifier.eissnpl
1618-1891
dc.identifier.issnpl
0373-3114
dc.identifier.uri
http://ruj.uj.edu.pl/xmlui/handle/item/40936
dc.languagepl
eng
dc.language.containerpl
eng
dc.rights*
Udzielam licencji. Uznanie autorstwa 3.0 Polska
dc.rights.licence
CC-BY
dc.rights.uri*
http://creativecommons.org/licenses/by/3.0/pl/legalcode
dc.share.type
inne
dc.subject.enpl
generalized Hartogs triangle
dc.subject.enpl
proper holomorphic mapping
dc.subject.enpl
group of automorphisms
dc.subject.enpl
complex ellipsoid
dc.subtypepl
Article
dc.titlepl
Proper holomorphic mappings between generalized Hartogs triangles
dc.title.journalpl
Annali di Matematica Pura ed Applicata
dc.typepl
JournalArticle
dspace.entity.type
Publication
Affiliations
Wydział Matematyki i Informatyki
Zapałowski, Paweł

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