SPACE ( , , ) M()  E Y AND ITS PROPERTIES

The paper defines the space M ( ,E,Y) ()  , considers a number of its subspaces, and studies their properties. The dual space of к space M ( ,E,Y) ()  is investigated and with its help a generalized solution of extremal problems is introduced. We also study the properties of the spaces M(S,Y) and M(,E,Y) and study the existence of a generalized solution to the minimization problem.