Author/Authors :
Rapha¨el Cerf، نويسنده , , Carlo Mariconda، نويسنده ,
Abstract :
A vector measure m s m1, . . . ,mn.defined on wa, bx is oriented if for each
k-tuple of disjoint measurable sets A1, . . . , Ak.such that A1- ??? -Ak the
determinant
m1 A1. ??? m1 Ak.
... ... ...
mk A1. ??? mk Ak.
is positive. We study the range R of an oriented measure:
R°s m E.: xE has n discontinuity points4,
Rs m E.:xE has less than ny1 discontinuity points4.