TY - JOUR
T1 - Variable exponent bounded variation spaces in the Riesz sense
AU - Castillo, René E.
AU - Guzmán, Oscar Mauricio
AU - Rafeiro, Humberto
N1 - Funding Information:
O.M.G. acknowledges the financial support of Colciencias through a Ph.D. Grant No. 647 of the Colombian Government . H.R. was partially supported by Pontificia Universidad Javeriana under the research project “Study of variable bounded variation spaces”, ID PROYECTO 5863 .
Publisher Copyright:
© 2015 Elsevier Ltd
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
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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 -