List questions from lp-spaces

Published on 19 Apr 2026 - 4:11

84

Views

Proof of the embedding of time dependent Sobolev spaces

Published on 15 May 2026 - 0:37

186

Views

Proof: All functions in $L^2[0,1]$ are in $L^1[0,1]$

Published on 17 Apr 2026 - 1:17

124

Views

Proof: $C^\infty[0,1]$ is dense in $L^1[0,1]$

Published on 14 Apr 2026 - 14:29

62

Views

Is there a equivalent norm on $L^p$ induced by inner product?

Published on 14 May 2026 - 16:53

218

Views

Exercise 4.19 (1) of Brezis

Published on 15 Apr 2026 - 5:58

70

Views

The functionals $\|\cdot\|_{L^{p,q}}$ do not satisfy the triangle inequality.

Published on 11 Apr 2026 - 14:53

126

Views

Does a bounded function like this exist?

Published on 12 Apr 2026 - 11:35

96

Views

How can you proove that every bounded function in $L^1[0;1]$ can be approximated by continuous function in $C[0;1]$?

Published on 29 Apr 2026 - 18:13

53

Views

Limit of $L_p$ norm.

Published on 17 Apr 2026 - 7:02

217

Views

Find a lower bound of the Maximal function of $f(x) = \frac{1}{x (\log x )^2}$ in $x \in (0,1/2)$.

Published on 16 Apr 2026 - 18:58

75

Views

Convergence of integrals without the dominated convergence theorem

Published on 19 Apr 2026 - 0:25

58

Views

Understanding the proof of $\sum_k \| f_k \|_p <\infty \Rightarrow \exists G\in L^p \ ; \ G(x)=\sum_k |f_k (x)|. $

Published on 16 Apr 2026 - 12:15

31

Views

Finding vector associated with a form of $L^2(\mathbb{R})$.

Published on 16 Apr 2026 - 0:43

142

Views

Riesz- Fischer Theorem

Published on 10 Apr 2026 - 19:07

List Question

problem on $L^2$ (pointwise) convergence and Carleson's Theorem

Proof of the embedding of time dependent Sobolev spaces

Proof: All functions in $L^2[0,1]$ are in $L^1[0,1]$

Proof: $C^\infty[0,1]$ is dense in $L^1[0,1]$

Is there a equivalent norm on $L^p$ induced by inner product?

Exercise 4.19 (1) of Brezis

The functionals $\|\cdot\|_{L^{p,q}}$ do not satisfy the triangle inequality.

Does a bounded function like this exist?

How can you proove that every bounded function in $L^1[0;1]$ can be approximated by continuous function in $C[0;1]$?

Limit of $L_p$ norm.

Find a lower bound of the Maximal function of $f(x) = \frac{1}{x (\log x )^2}$ in $x \in (0,1/2)$.

Convergence of integrals without the dominated convergence theorem

Understanding the proof of $\sum_k \| f_k \|_p <\infty \Rightarrow \exists G\in L^p \ ; \ G(x)=\sum_k |f_k (x)|. $

Finding vector associated with a form of $L^2(\mathbb{R})$.

Riesz- Fischer Theorem

Trending Questions

Popular # Hahtags

Popular Questions