Conformal mapping, a central concept in complex analysis, involves the transformation of one complex domain onto another while preserving local angles and shapes. This powerful tool has long been used ...

Many problems in the physical sciences can be described by potential and thus can often be solved through the application of conformal mapping. The Primary limitation of this approach, especially in ...

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.