Boundary Schwarz lemma for holomorphic functions

DOI10.2298/FIL1718553OzbMath1499.30233OpenAlexW2795425599WikidataQ124969304 ScholiaQ124969304MaRDI QIDQ5019805

Burcu Gök, Bülent Nafi Örnek

Publication date: 11 January 2022

Published in: Filomat (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2298/fil1718553o

zbMATH Keywords

holomorphic functionangular derivativeSchwarz lemma on the boundary

Mathematics Subject Classification ID

Maximum principle, Schwarz's lemma, Lindelöf principle, analogues and generalizations; subordination (30C80) Holomorphic functions of several complex variables (32A10)

Related Items

Bound estimates for the derivative of driving point impedance functions ⋮ Boundary Schwarz inequalities arising from Rogosinski's lemma

Cites Work

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• Bounded holomorphic functions covering no concentric circles
• Schwarz lemma at the boundary of the unit ball in \(\mathbb C^n\) and its applications
• Boundary Schwarz lemma for pluriharmonic mappings between unit balls
• The Schwarz inequality on the boundary for functions regular in the disk
• A generalized Schwarz lemma at the boundary
• A SHARP SCHWARZ LEMMA AT THE BOUNDARY
• SHARPENED FORMS OF THE SCHWARZ LEMMA ON THE BOUNDARY
• THE SCHWARZ LEMMA AND ITS APPLICATION AT A BOUNDARY POINT
• Julius and Julia: Mastering the Art of the Schwarz Lemma
• Rigidity of Holomorphic Mappings and a New Schwarz Lemma at the Boundary
• A sharp Schwarz inequality on the boundary
• A refined Schwarz inequality on the boundary
• The Schwarz Lemma at the Boundary of the Egg Domain B_p1,p2 in ℂⁿ
• The Schwarz Lemma: Rigidity and Dynamics
• The lower bound for the modulus of the derivatives and Jacobian of harmonic injective mappings
• On harmonic functions and the Schwarz lemma