Geometric Function Theory focuses on the study of analytic functions through the lens of geometry, with particular emphasis on conformal mappings. These mappings, which preserve local angles and the ...

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 ...

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 ...

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.