Sentence examples for vector measures from inspiring English sources

This integration theory extends the classical one for vector measures defined on σ-algebras.

We consider vector measures (mu =(mu _0, ldots, mu _k)) in the definition of our Sobolev space in (mathbb {R}).

The set-valued measures, which are natural extensions of the classical vector measures, have been the subject of many theses.

This result is then used to obtain a very general form of the Vitali–Hahn Saks Theorem on finitely additive vector measures.

Ideas and techniques from nonstandard theories of measure spaces and Banach spaces are brought together to give a further study of nonstandard vector measures.

It is also expressed thick sets by the agency of boundedness of vector measures, and clarify what case this concept is about the theory of barrelled spaces.

Consider a p-admissible vector measure (mu ).

The initial value g ̂ ( 0 ) equal to the distance vector measured at the first iteration.

In the general case we are able to give a countably additive vector measure, analytic in the same sense.

Let m be a vector measure from (mathfrak{A}) to E. We say that m is a bounded additive vector measure if its verifies similar conditions of bounded additive set-valued measures.

Let (1le pvector measure.