Grand Bochner-Lebesgue space and its associate space

Vakhtang Kokilashvili; Alexander Meskhi; Humberto Rafeiro

doi:10.1016/j.jfa.2013.10.027

Grand Bochner-Lebesgue space and its associate space

Vakhtang Kokilashvili
, Alexander Meskhi
, Humberto Rafeiro

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

19 Citations (Scopus)

Abstract

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.

Original language	English
Pages (from-to)	2125-2136
Number of pages	12
Journal	Journal of Functional Analysis
Volume	266
Issue number	4
DOIs	https://doi.org/10.1016/j.jfa.2013.10.027
Publication status	Published - Feb 15 2014
Externally published	Yes

Keywords

Associate space
Bochner spaces
Grand Bochner-Lebesgue space

ASJC Scopus subject areas

Analysis

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10.1016/j.jfa.2013.10.027

Cite this

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abstract = "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.",

keywords = "Associate space, Bochner spaces, Grand Bochner-Lebesgue space",

author = "Vakhtang Kokilashvili and Alexander Meskhi and Humberto Rafeiro",

note = "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.",

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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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UR - https://www.scopus.com/pages/publications/84892479094#tab=citedBy

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DO - 10.1016/j.jfa.2013.10.027

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EP - 2136

JO - Journal of Functional Analysis

JF - Journal of Functional Analysis

IS - 4

ER -

Grand Bochner-Lebesgue space and its associate space

Abstract

Keywords

ASJC Scopus subject areas

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