Question

Why can we consider this subsequence in $L^p$?

score 206 · Answer 1 · 2019-05-19 18:13:39

206

Views

Why can we consider this subsequence in $L^p$?

Published on 19 May 2019 - 18:13

score 161 · Answer 2 · 2026-03-29 09:09:27

161

Views

Compactness when mapping into a higher $L^p$ space and then back

Published on 29 Mar 2026 - 9:09

score 139 · Answer 3 · 2019-05-22 13:10:22

139

Views

If $u \in L^\infty((0,T)\times \Omega)$, does it follow that $u(t) \in L^\infty(\Omega)$ for a.e $t$?

Published on 22 May 2019 - 13:10

score 43 · Answer 4 · 2026-03-27 10:10:07

43

Views

Is my proof about the behavior of Convolutions as $||x|| \rightarrow \infty$ correct?

Published on 27 Mar 2026 - 10:10

score 100 · Answer 5 · 2019-05-23 19:04:34

100

Views

Pointwise multiplication by unbounded function throws us out of $L^2(\mu)$

Published on 23 May 2019 - 19:04

score 38 · Answer 6 · 2026-03-29 09:11:20

38

Views

Finite-dimensional copies of an unconditional basis uniformly complemented in $(\oplus\ell_\infty^n)_p$

Published on 29 Mar 2026 - 9:11

score 191 · Answer 7 · 2026-03-25 12:53:39

191

Views

Can we approximate a.e. invertible matrices with everywhere invertible matrices in $L^2$ sense?

Published on 25 Mar 2026 - 12:53

score 2.5k · Answer 8 · 2026-03-29 11:44:26

2.5k

Views

A characterization of Weak Convergence in $L^p$ spaces

Published on 29 Mar 2026 - 11:44

score 34 · Answer 9 · 2026-03-30 00:04:11

34

Views

Showing or refuting that $F^{-1}f(\xi)Fu(\xi)\leq F^{-1}g(\xi)Fu(\xi)$ with $f,g$ no negative functions with $f\leq g$

Published on 30 Mar 2026 - 0:04

score 45 · Answer 10 · 2019-05-28 18:58:06

45

Views

Two series diverge simultaneously (Müntz-Szász theorem for $L^2[0, 1]$)

Published on 28 May 2019 - 18:58

score 105 · Answer 11 · 2026-03-24 23:40:56

105

Views

Approximating an integrable function with simple functions on compact sets

Published on 24 Mar 2026 - 23:40

score 24 · Answer 12 · 2019-05-30 08:54:27

If $\|u_n\|_{L^1(\mathbb R)}\leq \gamma $ and $u_n\to u$ a.e., then $u\in L^1(\mathbb R)$ and $\|u\|_{L^1(\mathbb R)}\leq \gamma $.

score 276 · Answer 13 · 2026-03-26 01:14:54

276

Views

Compact operators on $L_1[0,1]$

Published on 26 Mar 2026 - 1:14

score 83 · Answer 14 · 2019-06-01 21:32:36

83

Views

Question about $L^{1}$ and $L^\infty$ spaces

Published on 01 Jun 2019 - 21:32

score 22 · Answer 15 · 2026-03-25 18:47:30

22

Views

Showing o refuting that $(1+|x|^2e^{|x|^2})\mathcal{F}u\in S'(\mathbb{R}^n)$?

Published on 25 Mar 2026 - 18:47

List Question

Why can we consider this subsequence in $L^p$?

Compactness when mapping into a higher $L^p$ space and then back

If $u \in L^\infty((0,T)\times \Omega)$, does it follow that $u(t) \in L^\infty(\Omega)$ for a.e $t$?

Is my proof about the behavior of Convolutions as $||x|| \rightarrow \infty$ correct?

Pointwise multiplication by unbounded function throws us out of $L^2(\mu)$

Finite-dimensional copies of an unconditional basis uniformly complemented in $(\oplus\ell_\infty^n)_p$

Can we approximate a.e. invertible matrices with everywhere invertible matrices in $L^2$ sense?

A characterization of Weak Convergence in $L^p$ spaces

Showing or refuting that $F^{-1}f(\xi)Fu(\xi)\leq F^{-1}g(\xi)Fu(\xi)$ with $f,g$ no negative functions with $f\leq g$

Two series diverge simultaneously (Müntz-Szász theorem for $L^2[0, 1]$)

Approximating an integrable function with simple functions on compact sets

If $\|u_n\|_{L^1(\mathbb R)}\leq \gamma $ and $u_n\to u$ a.e., then $u\in L^1(\mathbb R)$ and $\|u\|_{L^1(\mathbb R)}\leq \gamma $.

Compact operators on $L_1[0,1]$

Question about $L^{1}$ and $L^\infty$ spaces

Showing o refuting that $(1+|x|^2e^{|x|^2})\mathcal{F}u\in S'(\mathbb{R}^n)$?

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