A boundary Schwarz lemma for mappings from the unit polydisc to irreducible bounded symmetric domains

2020 ◽  
Vol 293 (7) ◽  
pp. 1345-1351
Author(s):  
Hidetaka Hamada ◽  
Gabriela Kohr
Keyword(s):  
Schwarz Lemma ◽  
Bounded Symmetric Domains ◽  
Boundary Schwarz Lemma

A boundary Schwarz lemma on the classical domain of type I

2017 ◽  
Vol 60 (7) ◽  
pp. 1239-1258 ◽  
Author(s):  
TaiShun Liu ◽  
XiaoMin Tang
Keyword(s):  
Schwarz Lemma ◽  
Type I ◽  
Classical Domain ◽  
Boundary Schwarz Lemma

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 BOUNDARY SCHWARZ LEMMA FOR SOLUTIONS TO NONHOMOGENEOUS BIHARMONIC EQUATIONS

2019 ◽  
Vol 100 (3) ◽  
pp. 470-478 ◽  
Author(s):  
MANAS RANJAN MOHAPATRA ◽  
XIANTAO WANG ◽  
JIAN-FENG ZHU
Keyword(s):  
Schwarz Lemma ◽  
Biharmonic Equations ◽  
Boundary Schwarz Lemma

We establish a boundary Schwarz lemma for solutions to nonhomogeneous biharmonic equations.

scholarly journals Boundary Schwarz lemma and rigidity property for holomorphic mappings of the unit polydisc in Cn

Filomat ◽  
2020 ◽  
Vol 34 (9) ◽  
pp. 2813-2818
Author(s):  
Ziyan Huang ◽  
Di Zhao ◽  
Hongyi Li
Keyword(s):  
Fixed Point ◽  
Unit Disk ◽  
Complex Plane ◽  
Complex Space ◽  
Holomorphic Mappings ◽  
Schwarz Lemma ◽  
Higher Dimensional ◽  
Rigidity Property ◽  
Boundary Schwarz Lemma

In this paper, we generalize the classical Schwarz lemma at the boundary from the unit disk D in the complex plane to the unit polydisc Dn in higher-dimensional complex space. Two boundary Schwarz lemmas for holomorphic mappings of Dn and corresponding rigidity properties are established without the restriction of the interior fixed point.

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