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January 2018 New function spaces related to Morrey spaces and the Fourier transform
Shohei Nakamura, Yoshihiro Sawano
Banach J. Math. Anal. 12(1): 1-30 (January 2018). DOI: 10.1215/17358787-2017-0014

Abstract

We introduce new function spaces to handle the Fourier transform on Morrey spaces and investigate fundamental properties of the spaces. As an application, we generalize the Stein–Tomas Strichartz estimate to our spaces. The geometric property of Morrey spaces and related function spaces will improve some well-known estimates.

Citation

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Shohei Nakamura. Yoshihiro Sawano. "New function spaces related to Morrey spaces and the Fourier transform." Banach J. Math. Anal. 12 (1) 1 - 30, January 2018. https://doi.org/10.1215/17358787-2017-0014

Information

Received: 25 May 2016; Accepted: 23 October 2016; Published: January 2018
First available in Project Euclid: 16 June 2017

zbMATH: 06841263
MathSciNet: MR3745572
Digital Object Identifier: 10.1215/17358787-2017-0014

Subjects:
Primary: 42B37
Secondary: 42B35, 46B10

Rights: Copyright © 2018 Tusi Mathematical Research Group

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Vol.12 • No. 1 • January 2018
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