On the rigidity part of Schwarz Lemma at the boundary
dc.authorid | 0000-0001-7109-230X | en_US |
dc.authorid | 0000-0001-6484-2731 | en_US |
dc.contributor.author | Akyel, Tuğba | |
dc.contributor.author | Örnek, Bülent Nafi | |
dc.date.accessioned | 2024-07-12T20:48:03Z | |
dc.date.available | 2024-07-12T20:48:03Z | |
dc.date.issued | 2019 | en_US |
dc.department | Fakülteler, İnsan ve Toplum Bilimleri Fakültesi, Matematik Bölümü | en_US |
dc.description.abstract | We consider the rigidity part of Schwarz Lemma. Let f be a holomorphic function in the unit disc D and |?f(z)| < 1 for |z| < 1. We generalize rigidity of holomorphic function and provide sufficient conditions on the local behaviour of f near a finite set of boundary points that needs f to be a finite Blaschke product. For a different version of the rigidity theorems of D. Burns-S.Krantz and D. Chelst, we present some more general results used the bilogaritmic concave majorants. The strategy of these results relies on a special version of Phragmen-Lindel¨of princible and Harnack inequality | en_US |
dc.identifier.citation | Akyel, T. ve Örnek, B. N. (2019). On the rigidity part of Schwarz Lemma at the boundary. International Conference of Mathematical Sciences (ICMS 2019). s. 60. | en_US |
dc.identifier.endpage | 60 | en_US |
dc.identifier.isbn | 978-605-2124-29-1 | |
dc.identifier.startpage | 60 | en_US |
dc.identifier.uri | https://hdl.handle.net/20.500.12415/2086 | |
dc.language.iso | en | en_US |
dc.publisher | Maltepe Üniversitesi | en_US |
dc.relation.ispartof | International Conference of Mathematical Sciences (ICMS 2019) | en_US |
dc.relation.publicationcategory | Uluslararası Konferans Öğesi - Başka Kurum Yazarı | en_US |
dc.rights | CC0 1.0 Universal | * |
dc.rights | info:eu-repo/semantics/openAccess | en_US |
dc.rights.uri | http://creativecommons.org/publicdomain/zero/1.0/ | * |
dc.snmz | KY01448 | |
dc.subject | Holomorphic function | en_US |
dc.subject | Bilogarithmic concave majorant | en_US |
dc.subject | Harnack inequality | en_US |
dc.subject | Phragmen-Lindelf princible | en_US |
dc.title | On the rigidity part of Schwarz Lemma at the boundary | en_US |
dc.type | Article | |
dspace.entity.type | Publication |