Uniqueness part of the Schwarz lemma at the boundary

DOI10.2298/FIL1712643OzbMath1488.30168OpenAlexW2525499712WikidataQ124877217 ScholiaQ124877217MaRDI QIDQ5162022

Tuğba Akyel, Bülent Nafi Örnek

Publication date: 1 November 2021

Published in: Filomat (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2298/fil1712643o

zbMATH Keywords

Schwarz lemmaholomorphic functioninner functioninner capacitiesHopf's lemma on the disc

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

Uniqueness part of Schwarz lemma for driving point impedance functions ⋮ Note on some classes of holomorphic functions related to Jack’s and Schwarz’s lemma ⋮ Note on the uniqueness holomorphic function on the unit disk

Cites Work

• A rigidity theorem for composition operators on certain Bergman spaces
• Lectures on potential theory. 2nd ed., revised and enlarged
• A generalized Schwarz lemma at the boundary
• Rigidity of Holomorphic Mappings and a New Schwarz Lemma at the Boundary
• The Schwarz Lemma: Rigidity and Dynamics
• The lower bound for the modulus of the derivatives and Jacobian of harmonic injective mappings
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