TY - JOUR
T1 - Schwarzian derivatives and a linearly invariant family in ℂn
AU - Rodrigo Hernández, R.
PY - 2006
Y1 - 2006
N2 - We use Oda's definition of the Schwarzian derivative for locally univalent holomorphic maps F in several complex variables to define a Schwarzian derivative operator ΦF. We use the Bergman metric to define a norm ||φF|| for this operator, which in the ball is invariant under composition with automorphisms. We study the linearly invariant family estimating its order and norm order.
AB - We use Oda's definition of the Schwarzian derivative for locally univalent holomorphic maps F in several complex variables to define a Schwarzian derivative operator ΦF. We use the Bergman metric to define a norm ||φF|| for this operator, which in the ball is invariant under composition with automorphisms. We study the linearly invariant family estimating its order and norm order.
KW - Linearly invariant families
KW - Schwarzian derivative
KW - Several complex varaibles
KW - Sturm comparison
UR - http://www.scopus.com/inward/record.url?scp=79851479014&partnerID=8YFLogxK
U2 - 10.2140/pjm.2006.228.201
DO - 10.2140/pjm.2006.228.201
M3 - Article
AN - SCOPUS:79851479014
SN - 0030-8730
VL - 228
SP - 201
EP - 218
JO - Pacific Journal of Mathematics
JF - Pacific Journal of Mathematics
IS - 2
ER -