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
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
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