SU\G(𝔸)/K·U

THE SCHWARZ LEMMA AND ITS APPLICATION AT A BOUNDARY POINT

Moonja Jeong

Type: Article

Publication Date: 2014-08-31

Citations: 8

DOI: https://doi.org/10.7468/jksmeb.2014.21.3.219

Abstract

In this note we study the Schwarz lemma and inequalities for some holomorphic functions on the unit disc. Also, we obtain the inequality of the derivative of holomorphic maps at a boundary point of the unit disc and find a holomorphic map to satisfy the equality.

Locations

  • The Pure and Applied Mathematics - View - PDF

Similar Works

Action Title Year Authors
+ PDF Chat Schwarz lemma and its applications on the unit disc 2024 Bülent Nafi Örnek
Nazif KANDEMİR
+ PDF Chat THE SCHWARZ LEMMA AND BOUNDARY FIXED POINTS 2011 Moonja Jeong
+ Schwarz lemma applications 2020 Praveen Kumar Sharma
+ A refinement of Schwarz's lemma at the boundary 2024 Bülent Nafi Örnek
+ A boundary Schwarz lemma for holomorphic mappings from the polydisc to the unit ball 2014 Yang Liu
Zhihua Chen
Yifei Pan
+ PDF Chat On the Schwarz lemma at the upper half plane 2019 Bülent Nafi Örnek
+ PDF Chat Boundary Schwarz lemma for holomorphic functions 2017 Nafi Örnek
Burcu Gök
+ PDF Chat Some results for a certain class of holomorphic functions at the boundary of the unit disc 2019 Bülent Nafi Örnek
Tuğba Akyel
+ PDF Chat INEQUALITIES FOR THE ANGULAR DERIVATIVES OF CERTAIN CLASSES OF HOLOMORPHIC FUNCTIONS IN THE UNIT DISC 2016 Bülent Nafi Örnek
+ PDF Chat A SHARP SCHWARZ LEMMA AT THE BOUNDARY 2015 Tuğba Akyel
Nafi Örnek
+ PDF Chat An application of Schwarz Lemma for analytic functions in the unit disc 2022 Bülent Nafi Örnek
Tuğba Akyel
+ Some remarks on Schwarz lemma at the boundary 2017 Tuğba Akyel
Bülent Nafi Örnek
+ PDF Chat Schwarz lemma and boundary Schwarz lemma for pluriharmonic mappings 2018 Jian‐Feng Zhu
+ The Schwarz lemma at the boundary 2010 Steven G. Krantz
+ The Schwarz lemma at the boundary 2010 Steven G. Krantz
+ PDF Chat Some remarks for a certain class of holomorphic functions at the boundary of the unit disc 2019 Bülent Nafi Örnek
Tuğba Akyel
+ PDF Chat AN IMPROVED LOWER BOUND FOR SCHWARZ LEMMA AT THE BOUNDARY 2016 Bülent Nafi Örnek
Tuğba Akyel
+ A sharp Schwarz inequality on the boundary 2000 Robert Osserman
+ PDF Chat Schwarz Lemma at the Boundary for Holomorphic and Pluriharmonic Mappings Between $p$-unit Balls 2023 Jianfei Wang
+ Inequality of Schwarz type for holomorphic self-maps of a disc with fixed points 2021 Olga Sergeevna Kudryavtseva

Works That Cite This (7)

Action Title Year Authors
+ PDF Chat Sharpened forms for λ-spirallike function of complex order on the boundary 2021 Tuğba Akyel
Bülent Nafi Örnek
+ Some lower bound for holomorphic functions at the boundary 2018 Bülent Nafi Örnek
+ PDF Chat Some Estimates for Holomorphic Functions at the Boundary of the Unit Disc 2020 Bülent Nafi Örnek
+ Applications of the Jack's lemma for the holomorphic functions 2018 Bülent Nafi Örnek
Selin Aydınoğlu
+ PDF Chat Some remarks for a certain class of holomorphic functions at the boundary of the unit disc 2019 Bülent Nafi Örnek
Tuğba Akyel
+ Estimates for λ-Spirallike Functions of Complex Order on the Boundary 2022 Tuğba Akyel
+ Estimates for -spirallike function of complex order on the boundary 2022 Tuğba Akyel

Works Cited by This (6)

Action Title Year Authors
+ Function theory of one complex variable 1997 Robert E. Greene
Steven G. Krantz
+ A sharp Schwarz inequality on the boundary 2000 Robert Osserman
+ PDF Chat SHARPENED FORMS OF THE SCHWARZ LEMMA ON THE BOUNDARY 2013 Bülent Nafi Örnek
+ PDF Chat THE SCHWARZ LEMMA AND BOUNDARY FIXED POINTS 2011 Moonja Jeong
+ MASTERING THE ART OF THE SCHWARZ LEMMA 2010 Harold P. Boas
+ Julius and Julia: Mastering the Art of the Schwarz Lemma 2010 Harold P. Boas