List questions from lp-spaces

Published on 14 Oct 2016 - 15:43

101

Views

"Strong" translations are continuous for $L^p$?

Published on 16 Oct 2016 - 5:49

105

Views

Is $Tf=\int_0^1\alpha (x)f(x)dx$ a compact operator?

Published on 07 Apr 2026 - 6:13

329

Views

Equality almost everywhere and in $L^2$

Published on 31 Mar 2026 - 5:02

1k

Views

How can it be true that the dual of Lp is Lq...?

Published on 26 Mar 2026 - 18:50

31

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Convergence in $L^1$ along a directed set

Published on 20 Oct 2016 - 3:26

40

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Example : sequence of functions $u_n$

Published on 04 Apr 2026 - 10:54

381

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Lp space contained in the intersection of Lq, where 1≤q≤p.

Published on 21 Oct 2016 - 13:19

151

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$H(t) = \int_{-\infty}^\infty |f(x) + tg(x)|^p\,dx$ differentiable or not?

Published on 22 Oct 2016 - 19:25

64

Views

Proof for existence of a particular sequence

Published on 22 Oct 2016 - 21:14

1k

Views

Uniformly integrable set is bounded in $L^1$

Published on 26 Mar 2026 - 6:25

93

Views

Infinitely differentiable function

Published on 23 Oct 2016 - 18:22

671

Views

Compactness of the integral operator $(Bf)(t)=\int_0^\infty\alpha (t,s)f(s)ds$

Published on 07 Apr 2026 - 7:52

69

Views

A.e. bound for functions in L^infinite

Published on 25 Mar 2026 - 18:52

114

Views

Do we have that $\mu(\{0\}) = 1$?

Published on 24 Oct 2016 - 1:59

List Question

Implication of weak-$^*$ convergence in $L^\infty(0,T;V)$

"Strong" translations are continuous for $L^p$?

Is $Tf=\int_0^1\alpha (x)f(x)dx$ a compact operator?

Equality almost everywhere and in $L^2$

How can it be true that the dual of Lp is Lq...?

Convergence in $L^1$ along a directed set

Example : sequence of functions $u_n$

Lp space contained in the intersection of Lq, where 1≤q≤p.

$H(t) = \int_{-\infty}^\infty |f(x) + tg(x)|^p\,dx$ differentiable or not?

Proof for existence of a particular sequence

Uniformly integrable set is bounded in $L^1$

Infinitely differentiable function

Compactness of the integral operator $(Bf)(t)=\int_0^\infty\alpha (t,s)f(s)ds$

A.e. bound for functions in L^infinite

Do we have that $\mu(\{0\}) = 1$?

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