Nemytskii Operator in Riesz-Bounded Variation Spaces with Variable Exponent

René Erlín Castillo; Oscar Mauricio Guzmán; Humberto Rafeiro

doi:10.1007/s00009-016-0801-x

Nemytskii Operator in Riesz-Bounded Variation Spaces with Variable Exponent

René Erlín Castillo, Oscar Mauricio Guzmán, Humberto Rafeiro

Research output: Contribution to journal › Article › peer-review

1 Citation (Scopus)

Abstract

In this note, we characterize global Lipschitz Nemytskii operators in the Riesz-bounded variation space with variable exponent, and in the course of the proof, we also show that this space is a Banach algebra.

Original language	English
Article number	2
Journal	Mediterranean Journal of Mathematics
Volume	14
Issue number	1
DOIs	https://doi.org/10.1007/s00009-016-0801-x
Publication status	Published - Feb 1 2017
Externally published	Yes

Keywords

Bounded variation
Nemytskii operator
Variable exponent spaces

ASJC Scopus subject areas

General Mathematics

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10.1007/s00009-016-0801-x

Cite this

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title = "Nemytskii Operator in Riesz-Bounded Variation Spaces with Variable Exponent",

abstract = "In this note, we characterize global Lipschitz Nemytskii operators in the Riesz-bounded variation space with variable exponent, and in the course of the proof, we also show that this space is a Banach algebra.",

keywords = "Bounded variation, Nemytskii operator, Variable exponent spaces",

author = "Castillo, {Ren{\'e} Erl{\'i}n} and Guzm{\'a}n, {Oscar Mauricio} and Humberto Rafeiro",

note = "Publisher Copyright: {\textcopyright} 2016, Springer International Publishing.",

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AU - Castillo, René Erlín

AU - Guzmán, Oscar Mauricio

AU - Rafeiro, Humberto

PY - 2017/2/1

Y1 - 2017/2/1

N2 - In this note, we characterize global Lipschitz Nemytskii operators in the Riesz-bounded variation space with variable exponent, and in the course of the proof, we also show that this space is a Banach algebra.

AB - In this note, we characterize global Lipschitz Nemytskii operators in the Riesz-bounded variation space with variable exponent, and in the course of the proof, we also show that this space is a Banach algebra.

KW - Bounded variation

KW - Nemytskii operator

KW - Variable exponent spaces

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Nemytskii Operator in Riesz-Bounded Variation Spaces with Variable Exponent

Abstract

Keywords

ASJC Scopus subject areas

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