Question

About extending Fourier transform on Lp spaces.

score 241 · Answer 1 · 2026-04-12 20:50:29

241

Views

About extending Fourier transform on Lp spaces.

Published on 12 Apr 2026 - 20:50

score 322 · Answer 2 · 2026-04-14 17:51:46

322

Views

Maximum subspace of Lp space which has Fourier transform.

Published on 14 Apr 2026 - 17:51

score 488 · Answer 3 · 2026-04-11 23:42:11

488

Views

convergence of sequences in $l^p$spaces with different p's

Published on 11 Apr 2026 - 23:42

score 2.3k · Answer 4 · 2026-04-16 22:04:52

2.3k

Views

prove the inequalities: $|x|_q \leq |x|_p \leq N^{^1/p-^1/q}\cdot |x|_q, x \in \mathbb{R}^{N}$ and $||x||_{l^q} \leq ||x||_{l^p}$ for $x\in l^p$

Published on 16 Apr 2026 - 22:04

score 450 · Answer 5 · 2026-04-12 15:51:30

450

Views

Does existence of some (nice) non-trivial functionals in $\ell_\infty^*\setminus\ell_1$ give a free ultrafilter on $\omega$?

Published on 12 Apr 2026 - 15:51

score 972 · Answer 6 · 2026-04-17 11:38:32

972

Views

Is there an example for $\|f_n-f\|_p\rightarrow 0$, but $\|f_n\|_p\nrightarrow \|f\|_p$, $0<p<1$

Published on 17 Apr 2026 - 11:38

score 129 · Answer 7 · 2026-04-12 13:02:16

129

Views

Measurability of the sum of measurable function and $L^p$

Published on 12 Apr 2026 - 13:02

score 1.3k · Answer 8 · 2026-04-16 11:47:04

1.3k

Views

If $f\in L^1_{loc}(\mathbb{R})$ and $\int f\varphi=0$ for all $\varphi$ continuous with compact support, then $f=0$ a.e.

Published on 16 Apr 2026 - 11:47

score 48 · Answer 9 · 2026-04-15 04:42:19

48

Views

Fourier switching in $L^{1}(\mathbb{R})\setminus S(\mathbb{R})$

Published on 15 Apr 2026 - 4:42

score 99 · Answer 10 · 2026-04-11 00:49:31

99

Views

Neumann problem has unique twice continuously differentiable solution

Published on 11 Apr 2026 - 0:49

score 233 · Answer 11 · 2026-04-15 07:29:32

233

Views

Show that $xf \in L^2(\mathbb{R})$, $f \in L^2(\mathbb{R})$ implies $f \in L^1(\mathbb{R})$

Published on 15 Apr 2026 - 7:29

score 145 · Answer 12 · 2026-04-12 09:53:56

145

Views

Downsides of using pseudo-metric (normed, inner-product) spaces

Published on 12 Apr 2026 - 9:53

score 178 · Answer 13 · 2026-04-16 08:36:19

178

Views

bounded sequence in dual space of $L_p$

Published on 16 Apr 2026 - 8:36

score 428 · Answer 14 · 2026-04-15 14:32:42

428

Views

Elements of $L^p$ as Equivalent Classes.

Published on 15 Apr 2026 - 14:32

score 317 · Answer 15 · 2026-04-16 00:17:44

317

Views

$I$ and $J$ have the same cardinality if $\ell^p(I)$ and $\ell^p(J)$ are isometrically isomorphic

Published on 16 Apr 2026 - 0:17

List Question

About extending Fourier transform on Lp spaces.

Maximum subspace of Lp space which has Fourier transform.

convergence of sequences in $l^p$spaces with different p's

prove the inequalities: $|x|_q \leq |x|_p \leq N^{^1/p-^1/q}\cdot |x|_q, x \in \mathbb{R}^{N}$ and $||x||_{l^q} \leq ||x||_{l^p}$ for $x\in l^p$

Does existence of some (nice) non-trivial functionals in $\ell_\infty^*\setminus\ell_1$ give a free ultrafilter on $\omega$?

Is there an example for $\|f_n-f\|_p\rightarrow 0$, but $\|f_n\|_p\nrightarrow \|f\|_p$, $0<p<1$

Measurability of the sum of measurable function and $L^p$

If $f\in L^1_{loc}(\mathbb{R})$ and $\int f\varphi=0$ for all $\varphi$ continuous with compact support, then $f=0$ a.e.

Fourier switching in $L^{1}(\mathbb{R})\setminus S(\mathbb{R})$

Neumann problem has unique twice continuously differentiable solution

Show that $xf \in L^2(\mathbb{R})$, $f \in L^2(\mathbb{R})$ implies $f \in L^1(\mathbb{R})$

Downsides of using pseudo-metric (normed, inner-product) spaces

bounded sequence in dual space of $L_p$

Elements of $L^p$ as Equivalent Classes.

$I$ and $J$ have the same cardinality if $\ell^p(I)$ and $\ell^p(J)$ are isometrically isomorphic

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