Some remarks on Schwarz lemma at the boundary

DOI10.2298/FIL1713139AzbMath1499.30222OpenAlexW2514518966WikidataQ124812914 ScholiaQ124812914MaRDI QIDQ5020398

Tuğba Akyel, Bülent Nafi Örnek

Publication date: 5 January 2022

Published in: Filomat (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2298/fil1713139a

zbMATH Keywords

holomorphic functionangular derivativeSchwarz lemma on the boundaryangular limit

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 (11)

Sharpened forms of analytic functions concerned with Hankel determinant ⋮ Some remarks on the Subordination Principle for analytic functions concerned with Rogosinski's lemma ⋮ Unnamed Item ⋮ Some Results Concerned with Hankel Determinant ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Unnamed Item ⋮ On the Schwarz lemma at the upper half plane

Cites Work

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• Bounded holomorphic functions covering no concentric circles
• The Schwarz inequality on the boundary for functions regular in the disk
• A generalized 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 lower bound for the modulus of the derivatives and Jacobian of harmonic injective mappings

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