Functional Spaces

Abstract

We state here some standard definitions and notation that will be used in what follows. Rn is an n-dimensional real space. The points of Rn are denoted by x (or y, z,…) so that x = (x1,…,x n ), (math p.35). If Ω is a set in Rn, i.e. Ω ⊂ Rn, then Ω is its closure and Rn\Ω is its complement, ∂Ω is its boundary. A domain in Rn is a connected open set.KeywordsBounded DomainCauchy SequenceLipschitz ConditionIsoperimetric InequalityFunctional SpaceThese keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.