Existence of boundary values for metaharmonic functions
Валентин Петрович Михайлов · Sbornik Mathematics · 1999
Necessary and sufficient conditions for the existence of -limits at the boundary of solutions of a?metaharmonic equation in a?half-space are established. In the case of Laplace's equation these criteria coincide with Riesz's theorem: a?harmonic function has an? -limit at the boundary if and only if it is -bounded.