Representation with majorant of the Schwarz lemma at the boundary | Zendy

Bülent Nafi Örnek | Zendy; Tuğba Akyel | Zendy

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Representation with majorant of the Schwarz lemma at the boundary

Author(s) -

Bülent Nafi Örnek,

Tuğba Akyel

Publication year - 2017

Publication title -

publications de l institut mathematique

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.246

H-Index - 17

eISSN - 1820-7405

pISSN - 0350-1302

DOI - 10.2298/pim1715191o

Subject(s) - blaschke product , holomorphic function , mathematics , boundary (topology) , uniqueness , lemma (botany) , pure mathematics , representation (politics) , product (mathematics) , mathematical analysis , additive schwarz method , unit (ring theory) , combinatorics , geometry , physics , finite element method , ecology , poaceae , domain decomposition methods , mathematics education , politics , political science , law , biology , thermodynamics

Let f be a holomorphic function in the unit disc and |f(z)−1| < 1 for |z| < 1. We generalize the uniqueness portion of Schwarz’s lemma and provide sufficient conditions on the local behavior of f near a finite set of boundary points that needed for f to be a finite Blaschke product.

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