TY - JOUR
T1 - Grand Bochner-Lebesgue space and its associate space
AU - Kokilashvili, Vakhtang
AU - Meskhi, Alexander
AU - Rafeiro, Humberto
N1 - Funding Information:
V.K. and A.M. were partially supported by the Shota Rustaveli National Science Foundation Grant (Contract Numbers: D/13-23 and 31/47 ). H.R. was partially supported by Pontificia Universidad Javeriana , under the research project Study of Grand Bochner spaces. The authors wish to express their gratitude to the referee for his/her valuable comments and suggestions.
PY - 2014/2/15
Y1 - 2014/2/15
N2 - Our aim is to introduce the grand Bochner-Lebesgue space in the spirit of Iwaniec-Sbordone spaces, also known as grand Lebesgue spaces, and prove some of its properties. We will also deal with the associate space for grand Bochner-Lebesgue spaces.
AB - Our aim is to introduce the grand Bochner-Lebesgue space in the spirit of Iwaniec-Sbordone spaces, also known as grand Lebesgue spaces, and prove some of its properties. We will also deal with the associate space for grand Bochner-Lebesgue spaces.
KW - Associate space
KW - Bochner spaces
KW - Grand Bochner-Lebesgue space
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U2 - 10.1016/j.jfa.2013.10.027
DO - 10.1016/j.jfa.2013.10.027
M3 - Article
AN - SCOPUS:84892479094
SN - 0022-1236
VL - 266
SP - 2125
EP - 2136
JO - Journal of Functional Analysis
JF - Journal of Functional Analysis
IS - 4
ER -