Question

Does an integrable function vanish at infinity in a suitable sense?

score 482 · Answer 1 · 2026-04-10 14:08:28

482

Views

Does an integrable function vanish at infinity in a suitable sense?

Published on 10 Apr 2026 - 14:08

score 307 · Answer 2 · 2026-04-13 01:09:55

307

Views

Understanding an answer for a function which is in $L^p$ for only one $p$

Published on 13 Apr 2026 - 1:09

score 59 · Answer 3 · 2026-04-12 22:59:08

59

Views

Mulitplicativity of $\Vert \cdot\Vert_{L^\infty}$

Published on 12 Apr 2026 - 22:59

score 70 · Answer 4 · 2026-04-11 22:08:28

70

Views

Does weak convergence in $L^\infty(\mathbb{R},L^p(\mathbb{R}^n))$ imply strong convergence in $L^p_{loc}(\mathbb{R}\times\mathbb{R}^n)$?

Published on 11 Apr 2026 - 22:08

score 106 · Answer 5 · 2026-04-14 12:55:16

106

Views

A question about linear, bounded map in $L^p$ spaces and $C[0,1]$

Published on 14 Apr 2026 - 12:55

score 675 · Answer 6 · 2026-05-03 13:12:43

675

Views

There is no inner product that induces the infinity norm in the space of continuous complex functions in [a,b]

Published on 03 May 2026 - 13:12

score 47 · Answer 7 · 2026-04-16 00:29:54

47

Views

Approximation of $f(x, y)$ by $\sum_{n=1}^N c_n \chi_{A_n}(x) \chi_{B_n}(y)$

Published on 16 Apr 2026 - 0:29

score 244 · Answer 8 · 2026-04-13 23:57:02

244

Views

Pointwise convergence almost everywhere implies convergence in $L^1$

Published on 13 Apr 2026 - 23:57

score 38 · Answer 9 · 2026-04-09 20:10:03

38

Views

Rewrite Lebesgue integral over a centered interval

Published on 09 Apr 2026 - 20:10

score 400 · Answer 10 · 2026-04-13 02:22:06

400

Views

Bounded Variation and Sobolev Norms.

Published on 13 Apr 2026 - 2:22

score 84 · Answer 11 · 2026-04-12 00:31:07

84

Views

For a fixed $f \in L^1(\Omega)$, find a coercive function $h$ such that $h(f) \in L^1(\Omega)$.

Published on 12 Apr 2026 - 0:31

score 87 · Answer 12 · 2026-03-23 16:10:47

87

Views

Integrability for double integral before applying Fubini's Theorem

Published on 23 Mar 2026 - 16:10

score 135 · Answer 13 · 2026-04-12 04:39:22

135

Views

Integral over product of functions is $0$

Published on 12 Apr 2026 - 4:39

score 88 · Answer 14 · 2026-04-13 17:57:01

88

Views

Differential analog to the Lebesgue spaces $\mathcal{L}^p$

Published on 13 Apr 2026 - 17:57

score 288 · Answer 15 · 2026-04-13 19:25:10

288

Views

Compactly embedded in $L^p(0,1)$ but is not a subspace of $C^0[0,1]$

Published on 13 Apr 2026 - 19:25

List Question

Does an integrable function vanish at infinity in a suitable sense?

Understanding an answer for a function which is in $L^p$ for only one $p$

Mulitplicativity of $\Vert \cdot\Vert_{L^\infty}$

Does weak convergence in $L^\infty(\mathbb{R},L^p(\mathbb{R}^n))$ imply strong convergence in $L^p_{loc}(\mathbb{R}\times\mathbb{R}^n)$?

A question about linear, bounded map in $L^p$ spaces and $C[0,1]$

There is no inner product that induces the infinity norm in the space of continuous complex functions in [a,b]

Approximation of $f(x, y)$ by $\sum_{n=1}^N c_n \chi_{A_n}(x) \chi_{B_n}(y)$

Pointwise convergence almost everywhere implies convergence in $L^1$

Rewrite Lebesgue integral over a centered interval

Bounded Variation and Sobolev Norms.

For a fixed $f \in L^1(\Omega)$, find a coercive function $h$ such that $h(f) \in L^1(\Omega)$.

Integrability for double integral before applying Fubini's Theorem

Integral over product of functions is $0$

Differential analog to the Lebesgue spaces $\mathcal{L}^p$

Compactly embedded in $L^p(0,1)$ but is not a subspace of $C^0[0,1]$

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