View article

Let be the Jacobian of a normalized biholomorphic mapping f from the unit ball into . An expression for the is determined by considering the series expansion for the renormalized mappings F obtained from f under the group of holomorphic automorphisms of . This expression is used to determine a bound for and for f in a compact family X of normalized biholomorphic mappings from into in terms of a bound of a certain combination of second-order coefficients. Estimates are found for for the specific family X of normalized convex mappings from into . References