WEIGHTED LIPSCHITZ CONTINUITY, SCHWARZ–PICK'S LEMMA AND LANDAU–BLOCH'S THEOREM FOR HYPERBOLIC-HARMONIC MAPPINGS IN ℂN
2013 ◽
Vol 18
(1)
◽
pp. 66-79
◽
Keyword(s):
In this paper, we discuss some properties on hyperbolic-harmonic functions in the unit ball of ℂ n . First, we investigate the relationship between the weighted Lipschitz functions and the hyperbolic-harmonic Bloch spaces. Then we establish the Schwarz–Pick type theorem for hyperbolic-harmonic functions and apply it to prove the existence of Landau-Bloch constant for functions in α-Bloch spaces.
2011 ◽
Vol 84
(1)
◽
pp. 67-78
◽
Keyword(s):
2018 ◽
Vol 464
(1)
◽
pp. 596-615
2005 ◽
Vol 48
(10)
◽
pp. 1349
◽
Keyword(s):
2017 ◽
Vol 60
(1)
◽
pp. 219-224
◽
Keyword(s):
Keyword(s):
2007 ◽
Vol 28
(6)
◽
pp. 677-684
◽