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http://hdl.handle.net/2445/140062
Title: | Weak-type boundedness of the Fourier transform on rearrangement invariant function spaces |
Author: | Boza, Santiago Soria de Diego, F. Javier |
Keywords: | Transformacions de Fourier Espais de Lorentz Fourier transformations Lorentz spaces |
Issue Date: | 8-Jun-2018 |
Publisher: | Cambridge University Press |
Abstract: | We study several questions about the weak-type boundedness of the Fourier transform ℱ on rearrangement invariant spaces. In particular, we characterize the action of ℱ as a bounded operator from the minimal Lorentz space Λ(X) into the Marcinkiewicz maximal space M(X), both associated with a rearrangement invariant space X. Finally, we also prove some results establishing that the weak-type boundedness of ℱ, in certain weighted Lorentz spaces, is equivalent to the corresponding strong-type estimates. |
Note: | Versió postprint del document publicat a: https://doi.org/10.1017/S0013091518000032 |
It is part of: | Proceedings of the Edinburgh Mathematical Society, 2018, vol. 61, num. 3, p. 879-890 |
URI: | http://hdl.handle.net/2445/140062 |
Related resource: | https://doi.org/10.1017/S0013091518000032 |
ISSN: | 0013-0915 |
Appears in Collections: | Articles publicats en revistes (Matemàtiques i Informàtica) |
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