Locally Defined Operators in the Space of Functions of Bounded Riesz-Variation

We study the locally defined operator on the spaces of bounded Riesz p-variation functions and we prove that those operators are the Nemytskii operator.

Bibliographic Details
Main Authors: W. Aziz, J. A. Guerrero, K. Maldonado, N. Merentes
Format: Article
Language:English
Published: Hindawi Limited 2015-01-01
Series:Journal of Mathematics
Online Access:http://dx.doi.org/10.1155/2015/925091
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spelling doaj-fc4562a7178d471689c3fe627174c6382020-11-25T01:19:57ZengHindawi LimitedJournal of Mathematics2314-46292314-47852015-01-01201510.1155/2015/925091925091Locally Defined Operators in the Space of Functions of Bounded Riesz-VariationW. Aziz0J. A. Guerrero1K. Maldonado2N. Merentes3Universidad de Los Andes, Departamento de Física y Matemática, Trujillo, VenezuelaUniversidad Nacional Experimental del Táchira, Departamento de Matemática y Física, San Cristóbal, VenezuelaUniversidad Nacional Experimental del Táchira, Departamento de Matemática y Física, San Cristóbal, VenezuelaUniversidad Central de Venezuela, Escuela de Matemáticas, Caracas, VenezuelaWe study the locally defined operator on the spaces of bounded Riesz p-variation functions and we prove that those operators are the Nemytskii operator.http://dx.doi.org/10.1155/2015/925091
collection DOAJ
language English
format Article
sources DOAJ
author W. Aziz
J. A. Guerrero
K. Maldonado
N. Merentes
spellingShingle W. Aziz
J. A. Guerrero
K. Maldonado
N. Merentes
Locally Defined Operators in the Space of Functions of Bounded Riesz-Variation
Journal of Mathematics
author_facet W. Aziz
J. A. Guerrero
K. Maldonado
N. Merentes
author_sort W. Aziz
title Locally Defined Operators in the Space of Functions of Bounded Riesz-Variation
title_short Locally Defined Operators in the Space of Functions of Bounded Riesz-Variation
title_full Locally Defined Operators in the Space of Functions of Bounded Riesz-Variation
title_fullStr Locally Defined Operators in the Space of Functions of Bounded Riesz-Variation
title_full_unstemmed Locally Defined Operators in the Space of Functions of Bounded Riesz-Variation
title_sort locally defined operators in the space of functions of bounded riesz-variation
publisher Hindawi Limited
series Journal of Mathematics
issn 2314-4629
2314-4785
publishDate 2015-01-01
description We study the locally defined operator on the spaces of bounded Riesz p-variation functions and we prove that those operators are the Nemytskii operator.
url http://dx.doi.org/10.1155/2015/925091
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AT jaguerrero locallydefinedoperatorsinthespaceoffunctionsofboundedrieszvariation
AT kmaldonado locallydefinedoperatorsinthespaceoffunctionsofboundedrieszvariation
AT nmerentes locallydefinedoperatorsinthespaceoffunctionsofboundedrieszvariation
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