Timeline for Is there a name for this space?
Current License: CC BY-SA 3.0
9 events
when toggle format | what | by | license | comment | |
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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 |