In this paper, we define a new differential-difference operator in the open unit disk. This operator describes the analytic geometric representation of the solution of the well known Beltrami differential equation in a complex domain, which this type of equations usually employs in image processing. Moreover, topological properties such as boundedness and compactness are introduced in different spaces such as Hardy space and Blog space.
|Number of pages||8|
|Journal||Southeast Asian Bulletin of Mathematics|
|Publication status||Published - 2021|