Question

$L^p$ space: For $1≤p≤∞$, find the values of the parameter $λ$ for which $\lim$ (integral) $= 0$

score 236 · Answer 1 · 2016-12-07 03:30:38

236

Views

$L^p$ space: For $1≤p≤∞$, find the values of the parameter $λ$ for which $\lim$ (integral) $= 0$

Published on 07 Dec 2016 - 3:30

score 52 · Answer 2 · 2016-12-08 09:51:55

52

Views

Counterexample in a proof about $L^p$ spaces

Published on 08 Dec 2016 - 9:51

score 1.6k · Answer 3 · 2026-04-04 09:37:27

1.6k

Views

Convergence in $H^1(\mathbb{R})$ implies convergence in $L^\infty(\mathbb{R})$

Published on 04 Apr 2026 - 9:37

score 120 · Answer 4 · 2026-04-04 05:18:04

120

Views

Isometry between $L^2$ and a space of RCLL martingale

Published on 04 Apr 2026 - 5:18

score 73 · Answer 5 · 2026-04-04 09:42:51

73

Views

$u\in W^{1,1}(\Omega)$, $f\in C^1(\mathbb{R})$, but: $f\circ u\notin W^{1,1}(\Omega)$

Published on 04 Apr 2026 - 9:42

score 1.4k · Answer 6 · 2026-03-25 11:33:43

1.4k

Views

What is the basis of the vector space $l^\infty$?

Published on 25 Mar 2026 - 11:33

score 38 · Answer 7 · 2016-12-10 12:13:44

38

Views

How to picture functions in $L^p([0, 1]^2)$ spaces? Do they look more like $L^\infty$ functions as $p$ increases?

Published on 10 Dec 2016 - 12:13

score 80 · Answer 8 · 2026-04-04 09:42:47

80

Views

$u \in W^{2,2}(\Omega)$ implies $\Delta_p u \in L^q(\Omega)$ for some $q>1$?

Published on 04 Apr 2026 - 9:42

score 213 · Answer 9 · 2026-03-26 22:15:12

213

Views

Isometry in the dual of $C[0,1]$

Published on 26 Mar 2026 - 22:15

score 44 · Answer 10 · 2016-12-10 18:44:22

44

Views

Passing only part of a limit?

Published on 10 Dec 2016 - 18:44

score 31 · Answer 11 · 2016-12-10 20:04:29

31

Views

Why do these sequences show up so much in proofs and counter examples?

Published on 10 Dec 2016 - 20:04

score 95 · Answer 12 · 2026-04-04 09:42:51

If $\operatorname P_U$ denotes the orthogonal projection from $L^2$ onto a closed subspace $U$, can we conclude that $\text P_UH_0^1\subseteq H_0^1$

score 190 · Answer 13 · 2016-12-11 19:56:53

190

Views

Extension of linear functional from C to L1

Published on 11 Dec 2016 - 19:56

score 29 · Answer 14 · 2016-12-12 15:41:00

29

Views

Why is $\lvert x:\lvert T(g)(x)\rvert>\alpha \rvert\le\alpha^{-p}\lvert\lvert T(g)\rvert\rvert^p_{L^p}$

Published on 12 Dec 2016 - 15:41

score 3.5k · Answer 15 · 2016-12-13 15:33:25

3.5k

Views

What is rotation when we have a different distance metric?

Published on 13 Dec 2016 - 15:33

List Question

$L^p$ space: For $1≤p≤∞$, find the values of the parameter $λ$ for which $\lim$ (integral) $= 0$

Counterexample in a proof about $L^p$ spaces

Convergence in $H^1(\mathbb{R})$ implies convergence in $L^\infty(\mathbb{R})$

Isometry between $L^2$ and a space of RCLL martingale

$u\in W^{1,1}(\Omega)$, $f\in C^1(\mathbb{R})$, but: $f\circ u\notin W^{1,1}(\Omega)$

What is the basis of the vector space $l^\infty$?

How to picture functions in $L^p([0, 1]^2)$ spaces? Do they look more like $L^\infty$ functions as $p$ increases?

$u \in W^{2,2}(\Omega)$ implies $\Delta_p u \in L^q(\Omega)$ for some $q>1$?

Isometry in the dual of $C[0,1]$

Passing only part of a limit?

Why do these sequences show up so much in proofs and counter examples?

If $\operatorname P_U$ denotes the orthogonal projection from $L^2$ onto a closed subspace $U$, can we conclude that $\text P_UH_0^1\subseteq H_0^1$

Extension of linear functional from C to L1

Why is $\lvert x:\lvert T(g)(x)\rvert>\alpha \rvert\le\alpha^{-p}\lvert\lvert T(g)\rvert\rvert^p_{L^p}$

What is rotation when we have a different distance metric?

Trending Questions

Popular # Hahtags

Popular Questions