TY - JOUR
T1 - Interpolation on variable Morrey spaces defined on quasi-metric measure spaces
AU - Meskhi, Alexander
AU - Rafeiro, Humberto
AU - Zaighum, Muhammad Asad
N1 - Funding Information:
The first named author was supported by the Shota Rustaveli National Science Foundation grant (Contract Numbers: D/13-23 and 31/47 ).
Funding Information:
The second named author was partially supported by research project “Study of boundedness of operators in generalized Morrey spaces”, ID-PRJ: 6576 of the Faculty of Sciences of Pontificia Universidad Javeriana, Bogotá, Colombia .
Funding Information:
The third named author was supported by Pontificia Universidad Javeriana, Bogotá, Colombia as Post-Doctoral Investigator working on the research project “Study of boundedness of some operators in generalized Morrey spaces”, ID-PRJ: 6576 (Contract Number: DPE-040-15 ). We thank anonymous referee for his/her valuable suggestion and remarks regarding the manuscript.
Publisher Copyright:
© 2015 Elsevier Inc.
PY - 2016/5/15
Y1 - 2016/5/15
N2 - In this paper, we show the validity of a Riesz-Thorin type interpolation theorem for linear operators acting from variable exponent Lebesgue spaces into variable exponent Morrey space in the framework of quasi-metric measure spaces.
AB - In this paper, we show the validity of a Riesz-Thorin type interpolation theorem for linear operators acting from variable exponent Lebesgue spaces into variable exponent Morrey space in the framework of quasi-metric measure spaces.
KW - Complex interpolation
KW - Morrey spaces
KW - Riesz-Thorin interpolation theorem
KW - Variable exponent spaces
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U2 - 10.1016/j.jfa.2015.11.013
DO - 10.1016/j.jfa.2015.11.013
M3 - Article
AN - SCOPUS:84949642417
SN - 0022-1236
VL - 270
SP - 3946
EP - 3961
JO - Journal of Functional Analysis
JF - Journal of Functional Analysis
IS - 10
ER -