Product local system and Fubini and Tonelli theorems

Risultato della ricerca: Other contribution

Abstract

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.
Lingua originaleEnglish
Stato di pubblicazionePublished - 2008

Fingerprint

Product Systems
Local System
Theorem
Riemann sum
Monotone Convergence
Real Line
Convergence Theorem

Cita questo

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

2008, .

Risultato della ricerca: Other contribution

@misc{c17a9521ec694e49af332ba32c268555,
title = "Product local system and Fubini and Tonelli theorems",
abstract = "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.",
keywords = "local system, product of local systems, Henstock integral",
author = "Valeria Marraffa",
year = "2008",
language = "English",
type = "Other",

}

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 -