Generalized harmonic functions and Schwarz lemma for biharmonic mappings

2021 ◽  
Author(s):  
Adel Khalfallah ◽  
Fathi Haggui ◽  
Mohamed Mhamdi
Keyword(s):  
Harmonic Functions ◽  
Schwarz Lemma ◽  
Generalized Harmonic Functions

scholarly journals SCHWARZ LEMMA FOR HOLOMORPHIC MAPPINGS IN THE UNIT BALL

2017 ◽  
Vol 60 (1) ◽  
pp. 219-224 ◽  
Author(s):  
DAVID KALAJ
Keyword(s):  
Unit Ball ◽  
Harmonic Functions ◽  
Type Inequality ◽  
Holomorphic Mappings ◽  
Schwarz Lemma ◽  
Complex Spaces

AbstractIn this note, we establish a Schwarz–Pick type inequality for holomorphic mappings between unit balls Bn and Bm in corresponding complex spaces. We also prove a Schwarz-Pick type inequality for pluri-harmonic functions.

scholarly journals A boundary Schwarz lemma for pluriharmonic mappings between the unit polydiscs of any dimensions

Filomat ◽  
2020 ◽  
Vol 34 (9) ◽  
pp. 3151-3160
Author(s):  
Ziyan Huang ◽  
Di Zhao ◽  
Hongyi Li
Keyword(s):  
Harmonic Functions ◽  
Higher Dimensions ◽  
Schwarz Lemma ◽  
Boundary Schwarz Lemma ◽  
Bounded Harmonic Functions

In this paper, we present a boundary Schwarz lemma for pluriharmonic mappings between the unit polydiscs of any dimensions, which extends the classical Schwarz lemma for bounded harmonic functions to higher dimensions.

scholarly journals On harmonic functions and the Schwarz lemma

2011 ◽  
Vol 140 (1) ◽  
pp. 161-165 ◽  
Author(s):  
David Kalaj ◽  
Matti Vuorinen
Keyword(s):  
Harmonic Functions ◽  
Schwarz Lemma ◽  
The Schwarz Lemma
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