Functions of bounded variations on compact subsets of
In this paper we introduce the concept of bounded variation for functions defined on compact subsets of the complex plane , based on the notion of variation along a curve as defined by Ashton and Doust; We describe in detail the space so generated and show that it can be equipped, in a natural way, with the structure of a Banach algebra. We also present a necessary condition for a composition operator to act between two such spaces.