Interior L<inf>p</inf>-Estimates for Functions in Clifford Type Algebras

Abstract:

In this paper we give estimates for the first order derivatives of Clifford-type algebras valued functions, in the Lp-norm. As the functions are solutions of elliptic partial differential equations, the estimates follow from integral representations obtained using fundamental solutions.

Año de publicación:

2015

Keywords:

• monogenic functions in Clifford type algebras
• Interior estimates
• integral representations
• generalized monogenic functions

Fuente:

scopus