Riemann and Dirichlet Type Problems for Hyperanalytic Functions in Fractal Domains

Abstract:

In this paper we are interested in finding solvability conditions for Riemann and Dirichlet type boundary value problems with generalized Hölder-continuous boundary data in the case of hyperanalytic functions defined in a domain of the complex plane bounded by an h-summable closed curve.

Año de publicación:

2018

Keywords:

• hyperanalytic functions
• Hölder functions
• h-summables curves
• Fractal dimensions
• Whitney decomposition

Fuente:

scopus