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Timeline for Is there a name for this space?

Current License: CC BY-SA 3.0

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Mar 17, 2020 at 1:30 vote accept Fan Zheng
Apr 20, 2015 at 7:45 answer added Willie Wong timeline score: 5
Apr 19, 2015 at 18:44 history edited Yemon Choi
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Apr 19, 2015 at 18:44 comment added Yemon Choi Sergei's comment is incorrect as FanZheng points out. Hausdorff-Young is not a characterization. I have never seen the space of functions whose FTs are p-integrable given any special name, so I would suggest just inventing some ad hoc notation within your paper and sticking to it.
Apr 12, 2015 at 19:38 comment added Fan Zheng I guess this is true only when $p\in [1,2]$.
Apr 12, 2015 at 12:27 comment added Sergei It follows for the function itself that $f(x)\in L_q(\mathbb{R}^n)$, not so?
Apr 12, 2015 at 6:35 comment added Inquisitive For $p=1,$ it is related to the algebra of Fourier transforms $\mathcal{F}L^{1}(\mathbb R^{n}).$ Some authors denotes as $A(\mathbb R^{n})$ as well.
Apr 12, 2015 at 4:42 comment added Fan Zheng @Giovanni I'm not asking about whether we identify functions equal a.e. (I'm always doing that). I'm asking whether there is a short term for the $L^p$ norm of the Fourier transform.
Apr 12, 2015 at 4:14 history asked Fan Zheng CC BY-SA 3.0