Invariant subspace for a singular integral operator on Ahlfors David surfaces

Abstract:

In this paper the singular integral operator on Ahlfors-David surfaces is shown to have an invariant subspace of the generalized Hölder continuous function space. We study the problem in the context of Quaternionic Analysis. Two equivalent norms on certain quaternionic monogenic functions subspace are treated.

Año de publicación:

2001

Keywords:

• Ahlfors David surfaces
• Quaternionic analysis
• Singular integral

Fuente:

scopus