Question

Duality between $L^p(\Omega)^n$ and $L^q(\Omega)^n$

score 51 · Answer 1 · 2026-03-26 14:20:46

51

Views

Duality between $L^p(\Omega)^n$ and $L^q(\Omega)^n$

Published on 26 Mar 2026 - 14:20

score 33 · Answer 2 · 2026-03-27 04:23:50

33

Views

Unsure of an inequality and a certain step in a proof that shows $\Vert f \ast K_\delta - f \Vert_p \to 0 \ \text{as} \ \delta \to 0$?

Published on 27 Mar 2026 - 4:23

score 106 · Answer 3 · 2016-08-19 06:42:28

106

Views

Understanding of $L^p(U)$ spaces and their relationship with $L^\infty(U)$ spaces?

Published on 19 Aug 2016 - 6:42

score 243 · Answer 4 · 2026-03-25 05:59:57

243

Views

Weighted vector norms and interpolation

Published on 25 Mar 2026 - 5:59

score 445 · Answer 5 · 2016-08-23 02:27:47

445

Views

Real Analysis Folland, Proposition 6.13, The Dual of $L^p$

Published on 23 Aug 2016 - 2:27

score 7k · Answer 6 · 2016-08-24 07:18:06

7k

Views

Showing the norm' is non-negative

Published on 24 Aug 2016 - 7:18

score 98 · Answer 7 · 2016-08-24 12:27:19

98

Views

$\imath ^{p}$ is a normed space

Published on 24 Aug 2016 - 12:27

score 334 · Answer 8 · 2016-08-25 01:51:06

334

Views

Real Analysis, Folland Problem 6.1.21 if and only if condition for weak convergence in $l^p(A)$

Published on 25 Aug 2016 - 1:51

score 102 · Answer 9 · 2026-03-28 01:07:23

102

Views

Continuity of a Shannon entropy on $L_{1}([0,1]^2)$

Published on 28 Mar 2026 - 1:07

score 200 · Answer 10 · 2026-03-25 06:04:28

200

Views

Relating primal and dual characterization of an (interpolation) norm on $\ell_1+\ell_2$

Published on 25 Mar 2026 - 6:04

score 88 · Answer 11 · 2016-08-25 19:28:32

88

Views

If $f\not\in L^{\infty}$ then $\lim_{p\rightarrow\infty}||f||_p=\infty $.

Published on 25 Aug 2016 - 19:28

score 60 · Answer 12 · 2016-08-26 08:40:49

60

Views

Is $u \mapsto \|u\|_p$ a bounded linear functional on $L^p(\Omega)$?

Published on 26 Aug 2016 - 8:40

score 509 · Answer 13 · 2016-08-26 17:07:32

509

Views

Can we approximate an $L^1 $function pointwise almost everywhere by a continous function?

Published on 26 Aug 2016 - 17:07

score 105 · Answer 14 · 2016-08-26 17:17:21

105

Views

Does $f\in L^2(\Bbb R^n)$, with $f=g+h$ imply both $g$ and $h$ belongs to $L^2$?

Published on 26 Aug 2016 - 17:17

score 126 · Answer 15 · 2016-08-29 18:56:18

126

Views

A Fun $L^2$ Inequality?

Published on 29 Aug 2016 - 18:56

List Question

Duality between $L^p(\Omega)^n$ and $L^q(\Omega)^n$

Unsure of an inequality and a certain step in a proof that shows $\Vert f \ast K_\delta - f \Vert_p \to 0 \ \text{as} \ \delta \to 0$?

Understanding of $L^p(U)$ spaces and their relationship with $L^\infty(U)$ spaces?

Weighted vector norms and interpolation

Real Analysis Folland, Proposition 6.13, The Dual of $L^p$

Showing the norm' is non-negative

$\imath ^{p}$ is a normed space

Real Analysis, Folland Problem 6.1.21 if and only if condition for weak convergence in $l^p(A)$

Continuity of a Shannon entropy on $L_{1}([0,1]^2)$

Relating primal and dual characterization of an (interpolation) norm on $\ell_1+\ell_2$

If $f\not\in L^{\infty}$ then $\lim_{p\rightarrow\infty}||f||_p=\infty $.

Is $u \mapsto \|u\|_p$ a bounded linear functional on $L^p(\Omega)$?

Can we approximate an $L^1 $function pointwise almost everywhere by a continous function?

Does $f\in L^2(\Bbb R^n)$, with $f=g+h$ imply both $g$ and $h$ belongs to $L^2$?

A Fun $L^2$ Inequality?

Trending Questions

Popular # Hahtags

Popular Questions