ABSTRACT

T heorem 1. Let h be a continuous function of bounded variation on a cell K . Given a function f on K the function f defined by

(1)

exists and is finite for dx-all y in R. Moreover, if f\dh\ is absolutely integrable on K then fd x is absolutely integrable on

P r o o f . Finiteness of (1 ) follows from the Indicatrix Theo­ rem. Let dV = \dh\ on K and dF = fd V which is absolutely integrable.