Abstract
In this paper, we will give Schwarz-Pick type estimates of arbitrary order partial derivatives for bounded pluriharmonic mappings defined in the unit polydisk. Our main results are generalizations of results of Colonna for planar harmonic mappings in (Indiana Univ. Math. J. 38 (1989) 829-840).
| Original language | English |
|---|---|
| Pages (from-to) | 1015-1024 |
| Number of pages | 10 |
| Journal | Illinois Journal of Mathematics |
| Volume | 58 |
| Issue number | 4 |
| DOIs | |
| State | Published - 1 Dec 2014 |
| Externally published | Yes |