We show that the Jacobian Jf of a quasi-conformal mapping f: Bn → D is an A∞-weight in Bn if and only if D is a John domain. A similar question concerning Jf - 1 is also studied.

We give two parametrized versions of the uniformization theorem of a noncompact, nonhyperbolic Riemann surface using different but complementary methods. The first constructs the uniformizing maps ...

The JACOBIAN statement defines the JACOBIAN matrix J for a system of objective functions. For more information, see the section "Derivatives". proc nlp tech=levmar; array j[2,2] j1-j4; lsq f1 f2; ...