### Abstract

Lingua originale | English |
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Stato di pubblicazione | Published - 2008 |

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**Product local system and Fubini and Tonelli theorems.** / Marraffa, Valeria.

Risultato della ricerca: Other contribution

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TY - GEN

T1 - Product local system and Fubini and Tonelli theorems

AU - Marraffa, Valeria

PY - 2008

Y1 - 2008

N2 - 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.

AB - 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.

KW - local system, product of local systems, Henstock integral

UR - http://hdl.handle.net/10447/48921

M3 - Other contribution

ER -