Question

Problem about weak sequential continuity of a nonlinear map from $L^4(\mathbb R^N)$ to $\mathbb R$

score 204 · Answer 1 · 2016-11-06 17:43:15

204

Views

Problem about weak sequential continuity of a nonlinear map from $L^4(\mathbb R^N)$ to $\mathbb R$

Published on 06 Nov 2016 - 17:43

score 285 · Answer 2 · 2016-11-07 12:44:04

285

Views

Norm of an $l_p$ -operator

Published on 07 Nov 2016 - 12:44

score 34 · Answer 3 · 2016-11-10 15:46:58

34

Views

$f \in C^{\infty}(A)$, $A$ compact then $f^{(k)} \in L_p$

Published on 10 Nov 2016 - 15:46

score 410 · Answer 4 · 2016-11-12 19:45:33

410

Views

Prob. 4, Sec. 1.2 in Kreyszig's Functional Analysis: Example of a sequence converging to $0$ which is not in any $\ell^p$

Published on 12 Nov 2016 - 19:45

score 27 · Answer 5 · 2016-11-13 10:28:48

27

Views

Unconditional convergence for $L^1_{[-T,T]}$ Norm

Published on 13 Nov 2016 - 10:28

score 71 · Answer 6 · 2016-11-13 13:11:07

71

Views

Lp-Spaces - find an example

Published on 13 Nov 2016 - 13:11

score 70 · Answer 7 · 2016-11-13 20:35:51

70

Views

$L^P$ spaces inequality

Published on 13 Nov 2016 - 20:35

score 40 · Answer 8 · 2026-04-04 06:21:34

40

Views

Can we get an estimate of the form $\|\chi u \|_{L^2} \le C_\chi \|\nabla u\|_{L^2}$ for $\chi, u \in C_0^\infty(\mathbb{R}^n)$?

Published on 04 Apr 2026 - 6:21

score 174 · Answer 9 · 2016-11-16 14:18:43

174

Views

Welldefined Hilbert-Schmidt Operator

Published on 16 Nov 2016 - 14:18

score 99 · Answer 10 · 2026-04-04 06:21:00

99

Views

Sobolev space $W^{1, 2}$, bounding $|f(x) - f(y)|$ by product of $L^2$ norm of derivative of $f$ and $|x - y|^{1/2}$.

Published on 04 Apr 2026 - 6:21

score 225 · Answer 11 · 2016-11-17 01:12:22

225

Views

If $xf \in L^2(\Bbb R)$, is $f \in L^1(\Bbb R)$?

Published on 17 Nov 2016 - 1:12

score 85 · Answer 12 · 2016-11-17 01:44:02

85

Views

If $f \in L^1$ and $f$ is everywhere strictly positive, then does it follow that $|\widehat{f}(y)| < \widehat{f}(0)$ for $y \neq 0$?

Published on 17 Nov 2016 - 1:44

score 242 · Answer 13 · 2016-11-19 01:04:30

242

Views

Norm of an operator in $\ell^p$

Published on 19 Nov 2016 - 1:04

score 822 · Answer 14 · 2026-04-05 20:51:21

822

Views

Are $\ell_p$ spaces complete under the $q$-norm?

Published on 05 Apr 2026 - 20:51

score 138 · Answer 15 · 2026-03-29 19:11:10

138

Views

For which values of $1 ≤ p ≤ \infty$ is $\{f_n\} \subset (C[0,1],\lVert\cdot\rVert_p)$ a Cauchy sequence?

Published on 29 Mar 2026 - 19:11

List Question

Problem about weak sequential continuity of a nonlinear map from $L^4(\mathbb R^N)$ to $\mathbb R$

Norm of an $l_p$ -operator

$f \in C^{\infty}(A)$, $A$ compact then $f^{(k)} \in L_p$

Prob. 4, Sec. 1.2 in Kreyszig's Functional Analysis: Example of a sequence converging to $0$ which is not in any $\ell^p$

Unconditional convergence for $L^1_{[-T,T]}$ Norm

Lp-Spaces - find an example

$L^P$ spaces inequality

Can we get an estimate of the form $\|\chi u \|_{L^2} \le C_\chi \|\nabla u\|_{L^2}$ for $\chi, u \in C_0^\infty(\mathbb{R}^n)$?

Welldefined Hilbert-Schmidt Operator

Sobolev space $W^{1, 2}$, bounding $|f(x) - f(y)|$ by product of $L^2$ norm of derivative of $f$ and $|x - y|^{1/2}$.

If $xf \in L^2(\Bbb R)$, is $f \in L^1(\Bbb R)$?

If $f \in L^1$ and $f$ is everywhere strictly positive, then does it follow that $|\widehat{f}(y)| < \widehat{f}(0)$ for $y \neq 0$?

Norm of an operator in $\ell^p$

Are $\ell_p$ spaces complete under the $q$-norm?

For which values of $1 ≤ p ≤ \infty$ is $\{f_n\} \subset (C[0,1],\lVert\cdot\rVert_p)$ a Cauchy sequence?

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