The Calderón-Mityagin Property for Couples of Weighted Radon Measures

The aim of this note is to introduce two new generic Banach lattice couples based on weighted spaces of continuous functions, and weighted Radon measures on the positive real-line, denoted by ->-C and--> M respectively. This leads to a new approach, based on these couples, of the Sedaev-Semenov result regarding the Calder & oacute;n-Mityagin property for weighted L1 spaces. As a consequence is obtained a formal equivalence between the concept of K divisibility and the relative Calder & oacute;n-Mityagin Property between--> M and general Banach couples.