Interpolation of an analytic family of operators on variable exponent Morrey spaces

Alexander Meskhi; Humberto Rafeiro; Muhammad Asad Zaighum

doi:10.32917/hmj/1544238031

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Home > Journals > Hiroshima Math. J. > Volume 48 > Issue 3 > Article

November 2018 Interpolation of an analytic family of operators on variable exponent Morrey spaces

Alexander Meskhi, Humberto Rafeiro, Muhammad Asad Zaighum

Hiroshima Math. J. 48(3): 335-346 (November 2018). DOI: 10.32917/hmj/1544238031

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Abstract

In this paper we show the validity of Stein’s interpolation theorem on variable exponent Morrey spaces.

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Alexander Meskhi. Humberto Rafeiro. Muhammad Asad Zaighum. "Interpolation of an analytic family of operators on variable exponent Morrey spaces." Hiroshima Math. J. 48 (3) 335 - 346, November 2018. https://doi.org/10.32917/hmj/1544238031

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Received: 4 April 2017; Revised: 28 February 2018; Published: November 2018

First available in Project Euclid: 8 December 2018

zbMATH: 07032361

MathSciNet: MR3885265

Digital Object Identifier: 10.32917/hmj/1544238031

Subjects:

Primary: 46B70 , 46E30

Keywords: Complex interpolation , Morrey spaces , Stein theorem , variable exponent spaces

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Hiroshima Math. J.

Vol.48 • No. 3 • November 2018

Hiroshima University, Mathematics Program

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Alexander Meskhi, Humberto Rafeiro, Muhammad Asad Zaighum "Interpolation of an analytic family of operators on variable exponent Morrey spaces," Hiroshima Mathematical Journal, Hiroshima Math. J. 48(3), 335-346, (November 2018)

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