Certain partial differential subordinations on some Reinhardt domains in $ℂ^n$
Volume 65 / 1997
Annales Polonici Mathematici 65 (1997), 179-191
DOI: 10.4064/ap-65-2-179-191
Abstract
We obtain an extension of Jack-Miller-Mocanu's Lemma for holomorphic mappings defined in some Reinhardt domains in $ℂ^n$. Using this result we consider first and second order partial differential subordinations for holomorphic mappings defined on the Reinhardt domain $B_{2p}$ with p ≥ 1.