On some Schwarz type inequalities

Author:

Mateljević Miodrag,Khalfallah Adel

Abstract

AbstractFirst, we establish some Schwarz type inequalities for mappings with bounded Laplacian, then we obtain boundary versions of the Schwarz lemma.

Funder

Univerzitet u Beogradu

King Fahd University of Petroleum and Minerals

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics,Discrete Mathematics and Combinatorics,Analysis

Reference21 articles.

1. (a) https://www.researchgate.net/project/Schwarz-lemma-the-Caratheodory-and-Kobayashi-Metrics-and-Applications-in-Complex-Analysis. (b) https://www.researchgate.net/post/What_are_the_most_recent_versions_of_The_Schwarz_Lemma. (c) https://www.researchgate.net/publication/325430073_Miodrag_Mateljevic_Rigidity_of_holomorphic_mappings_Schwarz_and_Jack_lemma

2. Azeroǧlu, T.A., Örnek, B.N.: A refined Schwarz inequality on the boundary. Complex Var. Elliptic Equ. 58(4), 571–577 (2013)

3. Burgeth, B.: A Schwarz lemma for harmonic and hyperbolic-harmonic functions in higher dimensions. Manuscr. Math. 77, 283–291 (1992)

4. Chen, H.H.: The Schwarz–Pick lemma for planar harmonic mappings. Sci. China Math. 54, 1101–1118 (2011)

5. Chen, S., Kalaj, D.: The Schwarz type lemmas and the Landau type theorem of mappings satisfying Poisson’s equations. Complex Anal. Oper. Theory 13, 2049–2068 (2019)

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