6533b88bfe1ef96bd12e2e58
RESEARCH PRODUCT
Product local system and Fubini and Tonelli theorems
Marraffa, Valeriasubject
local system product of local systems Henstock integraldescription
We present an integral, called S-integral, de ned by means of Riemann sums related to product local systems on the plane. The classical Henstock integral on the plane with respect to the Kurzweil basis is an example of integral related to a product local system. Some properties and a Fubini type theorem for the S-integral are considered. A monotone convergence theorem for the integral constructed by a local sys- tem in the real line is given and it is used to obtain a Tonelli type theorem for a product local system.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2008-01-01 |