Variable exponent bounded variation spaces in the Riesz sense

René E. Castillo; Oscar Mauricio Guzmán; Humberto Rafeiro

doi:10.1016/j.na.2015.10.019

Variable exponent bounded variation spaces in the Riesz sense

René E. Castillo
, Oscar Mauricio Guzmán
, Humberto Rafeiro

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

8 Citations (Scopus)

Abstract

In this paper we introduce variable exponent bounded variation spaces in the Riesz sense, prove some embedding results and finally we show that a type of Riesz representation lemma is valid in the newly introduced spaces.

Original language	English
Pages (from-to)	173-182
Number of pages	10
Journal	Nonlinear Analysis, Theory, Methods and Applications
Volume	132
DOIs	https://doi.org/10.1016/j.na.2015.10.019
Publication status	Published - Feb 1 2016
Externally published	Yes

Keywords

Bounded variation
Riesz representation lemma
Variable exponent spaces

ASJC Scopus subject areas

Analysis
Applied Mathematics

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10.1016/j.na.2015.10.019

Cite this

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title = "Variable exponent bounded variation spaces in the Riesz sense",

abstract = "In this paper we introduce variable exponent bounded variation spaces in the Riesz sense, prove some embedding results and finally we show that a type of Riesz representation lemma is valid in the newly introduced spaces.",

keywords = "Bounded variation, Riesz representation lemma, Variable exponent spaces",

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

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year = "2016",

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doi = "10.1016/j.na.2015.10.019",

language = "English",

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T1 - Variable exponent bounded variation spaces in the Riesz sense

AU - Castillo, René E.

AU - Guzmán, Oscar Mauricio

AU - Rafeiro, Humberto

PY - 2016/2/1

Y1 - 2016/2/1

N2 - In this paper we introduce variable exponent bounded variation spaces in the Riesz sense, prove some embedding results and finally we show that a type of Riesz representation lemma is valid in the newly introduced spaces.

AB - In this paper we introduce variable exponent bounded variation spaces in the Riesz sense, prove some embedding results and finally we show that a type of Riesz representation lemma is valid in the newly introduced spaces.

KW - Bounded variation

KW - Riesz representation lemma

KW - Variable exponent spaces

UR - https://www.scopus.com/pages/publications/84989846340

UR - https://www.scopus.com/pages/publications/84989846340#tab=citedBy

U2 - 10.1016/j.na.2015.10.019

DO - 10.1016/j.na.2015.10.019

M3 - Article

AN - SCOPUS:84989846340

SN - 0362-546X

VL - 132

SP - 173

EP - 182

JO - Nonlinear Analysis, Theory, Methods and Applications

JF - Nonlinear Analysis, Theory, Methods and Applications

ER -

Variable exponent bounded variation spaces in the Riesz sense

Abstract

Keywords

ASJC Scopus subject areas

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