Interpolation on variable Morrey spaces defined on quasi-metric measure spaces

Alexander Meskhi; Humberto Rafeiro; Muhammad Asad Zaighum

doi:10.1016/j.jfa.2015.11.013

Interpolation on variable Morrey spaces defined on quasi-metric measure spaces

Alexander Meskhi, Humberto Rafeiro, Muhammad Asad Zaighum

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

14 Citations (Scopus)

Abstract

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.

Original language	English
Pages (from-to)	3946-3961
Number of pages	16
Journal	Journal of Functional Analysis
Volume	270
Issue number	10
DOIs	https://doi.org/10.1016/j.jfa.2015.11.013
Publication status	Published - May 15 2016
Externally published	Yes

Keywords

Complex interpolation
Morrey spaces
Riesz-Thorin interpolation theorem
Variable exponent spaces

ASJC Scopus subject areas

Analysis

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10.1016/j.jfa.2015.11.013

Cite this

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title = "Interpolation on variable Morrey spaces defined on quasi-metric measure spaces",

abstract = "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.",

keywords = "Complex interpolation, Morrey spaces, Riesz-Thorin interpolation theorem, Variable exponent spaces",

author = "Alexander Meskhi and Humberto Rafeiro and Zaighum, {Muhammad Asad}",

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year = "2016",

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doi = "10.1016/j.jfa.2015.11.013",

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AU - Meskhi, Alexander

AU - Rafeiro, Humberto

AU - Zaighum, Muhammad Asad

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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JO - Journal of Functional Analysis

JF - Journal of Functional Analysis

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ER -

Interpolation on variable Morrey spaces defined on quasi-metric measure spaces

Abstract

Keywords

ASJC Scopus subject areas

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