Question

Lipschitz Condition for Generalized Function

score 136 · Answer 1 · 2026-04-14 11:29:26

136

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Lipschitz Condition for Generalized Function

Published on 14 Apr 2026 - 11:29

score 24 · Answer 2 · 2026-04-11 07:31:44

24

Views

Showing the Essential Sup of a Function is Bounded

Published on 11 Apr 2026 - 7:31

score 60 · Answer 3 · 2026-04-21 11:21:40

60

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Transitivity of convergence of sequence in $L^1$ and $BV$

Published on 21 Apr 2026 - 11:21

score 207 · Answer 4 · 2026-04-28 09:44:56

207

Views

Brezis Exercise 4.1: Find conditions for a function to be in Lp

Published on 28 Apr 2026 - 9:44

score 46 · Answer 5 · 2026-04-12 04:47:44

46

Views

Quotient of solutions of a semilinear Dirichlet problem is $L^\infty$

Published on 12 Apr 2026 - 4:47

score 253 · Answer 6 · 2026-04-12 00:45:08

253

Views

An easy question about the separability of $L^p(X,\mathcal{A}, \mu)$ space, where $p\in [1,+\infty)$

Published on 12 Apr 2026 - 0:45

score 51 · Answer 7 · 2026-04-13 08:24:36

51

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What is the ambience space of the Lp spaces and what topology does it have?

Published on 13 Apr 2026 - 8:24

score 347 · Answer 8 · 2026-04-15 05:08:12

347

Views

$x\hat{f}(x)\in L^1(\mathbb{R})$ implies $x\hat{f}(x)\in L^\infty(\mathbb{R})$

Published on 15 Apr 2026 - 5:08

score 185 · Answer 9 · 2026-04-15 09:55:14

185

Views

A sequence in $L^p$ that converges in measure but not weakly and vice versa

Published on 15 Apr 2026 - 9:55

score 217 · Answer 10 · 2026-05-14 20:49:11

217

Views

Sobolev function has continuous representative

Published on 14 May 2026 - 20:49

score 82 · Answer 11 · 2026-04-17 03:57:11

Show that the Range of the multiplication operator $M_a$ is dense in $L_p (\Omega)$ provided that $a \neq 0$ a.e. in $\Omega \subset \mathbb{R}^n$

score 132 · Answer 12 · 2026-04-13 16:22:12

132

Views

Why does the Laplace transform of a function in L2 belong in the Hardy space?

Published on 13 Apr 2026 - 16:22

score 94 · Answer 13 · 2026-04-11 16:12:29

94

Views

Is $\ell^{p-1}$ a subspace of $\ell^p$?

Published on 11 Apr 2026 - 16:12

score 164 · Answer 14 · 2026-05-14 20:49:58

164

Views

Clarification on Proof from Folland's Analysis - Sobolev Embedding Theorem

Published on 14 May 2026 - 20:49

score 62 · Answer 15 · 2026-04-15 04:46:35

62

Views

The space $\operatorname{Lip}_{b}(X)$ is dense in $L_1(X, \mu)$ w.r.t. $\|\cdot\|_{L_1}$

Published on 15 Apr 2026 - 4:46

List Question

Lipschitz Condition for Generalized Function

Showing the Essential Sup of a Function is Bounded

Transitivity of convergence of sequence in $L^1$ and $BV$

Brezis Exercise 4.1: Find conditions for a function to be in Lp

Quotient of solutions of a semilinear Dirichlet problem is $L^\infty$

An easy question about the separability of $L^p(X,\mathcal{A}, \mu)$ space, where $p\in [1,+\infty)$

What is the ambience space of the Lp spaces and what topology does it have?

$x\hat{f}(x)\in L^1(\mathbb{R})$ implies $x\hat{f}(x)\in L^\infty(\mathbb{R})$

A sequence in $L^p$ that converges in measure but not weakly and vice versa

Sobolev function has continuous representative

Show that the Range of the multiplication operator $M_a$ is dense in $L_p (\Omega)$ provided that $a \neq 0$ a.e. in $\Omega \subset \mathbb{R}^n$

Why does the Laplace transform of a function in L2 belong in the Hardy space?

Is $\ell^{p-1}$ a subspace of $\ell^p$?

Clarification on Proof from Folland's Analysis - Sobolev Embedding Theorem

The space $\operatorname{Lip}_{b}(X)$ is dense in $L_1(X, \mu)$ w.r.t. $\|\cdot\|_{L_1}$

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