3 papers
math.CA2003
Change of Variable for Multi-dimensional Integral
Isidore Fleischer
The change of variable theorem is proved under the sole hypothesis of differentiability of the transformation. Specifically, it is shown under this hypothesis that the transformed…
math.FA2002
L1 Compactness of Bounded BV Sets
Isidore Fleischer
Functions, uniformly bounded in norm in some bounded open set in , are compact in . This result is known when has Lipschitz boundary [EG Th. 4 p. 176], [G…
math.CA2002
Green's theorem with no differentiability
I. Fleischer
The result is established for a Jordan measurable region with rectifiable boundary. The integrand F for the new plane integral to be used is a function of axis-parallel rectangles,…