Uniform approximation of continuous functions on compact sets by biharmonic and bisuperharmonic functions in a biharmonic space

Abstract

We give a characterization of functions that are uniformly approximable on a compact K of a biharmonic space satisfying the axiom D by biharmonic functions or by bisuperharmonic in neighborhoods of K.

Keywords

• harmonic function and space
• biharmonic function and space
• fine topology
• finely biharmonic function