Complex interpolation on variable exponent Campanato spaces of order k

Alexander Meskhi; Humberto Rafeiro; Muhammad Asad Zaighum

doi:10.1080/17476933.2016.1244190

Complex interpolation on variable exponent Campanato spaces of order k

Alexander Meskhi, Humberto Rafeiro, Muhammad Asad Zaighum

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

2 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 Campanato spaces of order k.

Original language	English
Pages (from-to)	795-813
Number of pages	19
Journal	Complex Variables and Elliptic Equations
Volume	62
Issue number	6
DOIs	https://doi.org/10.1080/17476933.2016.1244190
Publication status	Published - Jun 3 2017
Externally published	Yes

Keywords

Campanato spaces
Riesz–Thorin interpolation theorem
complex interpolation
variable exponent spaces

ASJC Scopus subject areas

Analysis
Numerical Analysis
Computational Mathematics
Applied Mathematics

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10.1080/17476933.2016.1244190

Cite this

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title = "Complex interpolation on variable exponent Campanato spaces of order k",

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 Campanato spaces of order k.",

keywords = "Campanato spaces, Riesz–Thorin interpolation theorem, complex interpolation, variable exponent spaces",

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

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AU - Meskhi, Alexander

AU - Rafeiro, Humberto

AU - Zaighum, Muhammad Asad

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KW - Riesz–Thorin interpolation theorem

KW - complex interpolation

KW - variable exponent spaces

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ER -

Complex interpolation on variable exponent Campanato spaces of order k

Abstract

Keywords

ASJC Scopus subject areas

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