2 papers
math.CV2020
The -operator on Some Conformally Flat Manifolds and the Upper Half Space
Wanqing Cheng John Ryan
The -operator, also known as Ahlfors-Beurling transform, plays an important role in solving the existence of locally quasiconformal solutions of Beltrami equations. In this pape…
math.CV2016
Spherical -type Operators in Clifford Analysis and Applications
Wanqing Cheng, John Ryan, Uwe Kähler
The -operator (Ahlfors-Beurling transform) plays an important role in solving the Beltrami equation. In this paper we define two -operators on the n-sphere. The first spheric…