Functions which have harmonic support
Alan Wilson · Proceedings of the American Mathematical Society · 1962
In [l, p. 302] Johnson makes the Definition.A function v(z) real-valued in a domain D of the complex z plane has harmonic support [belongs to the class (hs) ] in D if (I) v is bounded on each compact subset of D and (II) for each zo in D there exists h harmonic and single-valued in D such that v(zo)=h(zo) and