THE STRUCTURE OF COMPACT SETS GENERATING NORMAL DOMAINS, AND REMOVABLE SINGULARITIES FOR THE SPACE $ L_p^1(D)$

Abstract

A study is made of the properties of -normal domains in (), which will be minimal in the Koebe sense or normal in the Grotzsch sense when . Descriptions are obtained of removable singularities for the space and for compact sets generating -normal domains, in terms of the theory of contingencies and -dimensional bi-Lipschitz -compact sets.