List questions from lp-spaces

91

Views

Let $u_n \to u$ in $L^1(\Omega)$. Does $u_n^p \to u^p$ in $L^1(\Omega)$ if we know $u_n^p \in L^1(\Omega)$?

Published on 26 Jun 2014 - 10:23

447

Views

Weak convergence of partial sums

Published on 30 Mar 2026 - 4:54

90

Views

Properties of a sequence of iid rv's

Published on 26 Jun 2014 - 14:34

2.4k

Views

Prove that $\ell ^1(\mathbb{N})$ is a Banach space.

Published on 31 Mar 2026 - 11:06

358

Views

Dense subsets in $L^1(\mathbb{R})$

Published on 26 Mar 2026 - 1:27

53

Views

If $\| \psi \|_2=1$ can I say something about $\| \psi' \|_2$?

Published on 27 Jun 2014 - 8:30

6k

Views

Is $L^p$ separable?

Published on 27 Jun 2014 - 19:45

193

Views

What information is contained in the function $p\mapsto ||f||_p$?

Published on 27 Jun 2014 - 21:44

280

Views

a function with infinity L^p norm

Published on 28 Jun 2014 - 5:03

226

Views

Prove an identity without using Hölder's inequality

Published on 28 Jun 2014 - 13:18

2.4k

Views

Minkowski inequality for $l_p$ norm.

Published on 29 Jun 2014 - 14:49

102

Views

Differentiate a log of $L^p$ norm, don't understand this result

Published on 02 Jul 2014 - 18:35

107

Views

An amazing inequality of the integration of two functions.

Published on 04 Jul 2014 - 3:52

1.7k

Views

Closed subspaces of $L^2(0,1)$

Published on 07 Jul 2014 - 9:55

90

Views

need to prove an inequality with absolute value to the power of positive number

Published on 07 Jul 2014 - 15:33

List Question

Let $u_n \to u$ in $L^1(\Omega)$. Does $u_n^p \to u^p$ in $L^1(\Omega)$ if we know $u_n^p \in L^1(\Omega)$?

Weak convergence of partial sums

Properties of a sequence of iid rv's

Prove that $\ell ^1(\mathbb{N})$ is a Banach space.

Dense subsets in $L^1(\mathbb{R})$

If $\| \psi \|_2=1$ can I say something about $\| \psi' \|_2$?

Is $L^p$ separable?

What information is contained in the function $p\mapsto ||f||_p$?

a function with infinity L^p norm

Prove an identity without using Hölder's inequality

Minkowski inequality for $l_p$ norm.

Differentiate a log of $L^p$ norm, don't understand this result

An amazing inequality of the integration of two functions.

Closed subspaces of $L^2(0,1)$

need to prove an inequality with absolute value to the power of positive number

Trending Questions

Popular # Hahtags

Popular Questions