On the Neumann Operator of the Arithmetical Mean

The symbol λk (k ∈ {1, 2}) will denote the k-dimensional Hausdorff measure (with the usual normalization, so that λk([0, 1] ) = 1). For M ⊂ R we use the symbols ∂M , intM and clM to denote the boundary, the interior and the closure of M , respectively. For M 6= ∅ we denote by C(M) the Banach space of all bounded continuous functions on M with the supremum… CONTINUE READING