Abstract
Let α, β∈ (- 1 , ∞) such that α+ β> - 1 . Given two continuous functions g∈ C(D¯) and f∈ C(T) , we provide various Schwarz type lemmas for mappings u satisfying the inhomogeneous (α, β) -harmonic equation Lα,βu= g in D and u= f in T , where D is the unit disc of the complex plane C and T= ∂D is the unit circle. The obtained results provide a significant improvement over previous research on the subject.
| Original language | English |
|---|---|
| Article number | 53 |
| Journal | Bulletin of the Malaysian Mathematical Sciences Society |
| Volume | 47 |
| Issue number | 2 |
| DOIs | |
| State | Published - Mar 2024 |
Bibliographical note
Publisher Copyright:© 2023, The Author(s), under exclusive licence to Malaysian Mathematical Sciences Society and Penerbit Universiti Sains Malaysia.
Keywords
- (α, β)-Harmonic equation
- (α, β)-Harmonic mapping
- Schwarz lemma
- Schwarz–Pick lemma
- Weighted Green function
ASJC Scopus subject areas
- General Mathematics