Linear Functionals in a Space with Moving-Average Norm.

LAMBDA(T) is a linear space whose elements are jocally integrable functions h(t), -inf inf, where the norm of h is the supremum over x of int from x to (x+T) /h(t)/dt. If f(t) belongs to a certain class of functions LAMBDA*, then the integral int sup inf f(t)h(t)dt, h epsilon LAMBDA(T), defines a bounded linear functional on LAMBDA(T), whose norm defines the norm of f in LAMBDA*(T).