Question

A question regarding an orthonormal system in $L^2(0,1)$

score 78 · Answer 1 · 2026-04-12 16:38:32

78

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A question regarding an orthonormal system in $L^2(0,1)$

Published on 12 Apr 2026 - 16:38

score 139 · Answer 2 · 2026-04-15 08:44:40

139

Views

$L_q$ is always dense in $L_p$?

Published on 15 Apr 2026 - 8:44

score 30 · Answer 3 · 2026-04-14 11:22:36

30

Views

Lipschitz with constant greater than $\frac{1}{2}$ implies $f(t) = \sum_{n \in Z} \hat{f}(n)e^{int} $

Published on 14 Apr 2026 - 11:22

score 81 · Answer 4 · 2026-04-10 19:52:41

81

Views

Prooving an inequality in thermodynamics

Published on 10 Apr 2026 - 19:52

score 58 · Answer 5 · 2026-04-30 03:15:35

58

Views

If $|\phi| \approx |\psi|$, then Is $|| \mathcal{F}^{-1} [\phi \hat{f}] ||_p \leq C || \mathcal{F}^{-1} [\psi \hat{f}] ||_p$?

Published on 30 Apr 2026 - 3:15

score 415 · Answer 6 · 2026-04-14 18:52:16

415

Views

Showing that the operator $T$ is a bounded linear operator mapping $L^1[0, 1]$ to $c_0$

Published on 14 Apr 2026 - 18:52

score 158 · Answer 7 · 2026-03-25 19:10:14

158

Views

Folland Theorem 6.14: Why is $ \lim |\int f_n g | \leq M_q(g)$?

Published on 25 Mar 2026 - 19:10

score 208 · Answer 8 · 2026-04-14 02:25:44

208

Views

Interpolation between weighted $\ell^p$-spaces

Published on 14 Apr 2026 - 2:25

score 127 · Answer 9 · 2026-04-13 00:34:37

127

Views

Is the integral of the reciprocal of a non negative function that is not bounded away from $0$ equal to $+\infty$?

Published on 13 Apr 2026 - 0:34

score 48 · Answer 10 · 2026-04-17 14:03:05

48

Views

Suppose $f \in L_+^1$ let $g(x,y)= \min(f(x), f(y))$. Is $g\in L_{+}^1$?

Published on 17 Apr 2026 - 14:03

score 257 · Answer 11 · 2026-04-12 12:34:23

257

Views

Interpolation of $L^p$ spaces (from book by Caffarelli-Cabre)

Published on 12 Apr 2026 - 12:34

score 230 · Answer 12 · 2026-04-10 06:35:12

230

Views

Surjectivity of multiplication operator on $L^p$ space

Published on 10 Apr 2026 - 6:35

score 97 · Answer 13 · 2026-04-15 13:47:26

97

Views

The dual space of $C_0(\mathbb{R})$ can't be identified as $L_1(\mathbb{R})$

Published on 15 Apr 2026 - 13:47

score 93 · Answer 14 · 2026-04-14 09:18:58

93

Views

Examples of functions $L_p(\mu)$ but not $L_p(\mu)$ and viceversa

Published on 14 Apr 2026 - 9:18

score 86 · Answer 15 · 2026-04-12 17:09:41

86

Views

Convergence of $L^p$ norm to $L^1$ norm as $p\to 1$

Published on 12 Apr 2026 - 17:09

List Question

A question regarding an orthonormal system in $L^2(0,1)$

$L_q$ is always dense in $L_p$?

Lipschitz with constant greater than $\frac{1}{2}$ implies $f(t) = \sum_{n \in Z} \hat{f}(n)e^{int} $

Prooving an inequality in thermodynamics

If $|\phi| \approx |\psi|$, then Is $|| \mathcal{F}^{-1} [\phi \hat{f}] ||_p \leq C || \mathcal{F}^{-1} [\psi \hat{f}] ||_p$?

Showing that the operator $T$ is a bounded linear operator mapping $L^1[0, 1]$ to $c_0$

Folland Theorem 6.14: Why is $ \lim |\int f_n g | \leq M_q(g)$?

Interpolation between weighted $\ell^p$-spaces

Is the integral of the reciprocal of a non negative function that is not bounded away from $0$ equal to $+\infty$?

Suppose $f \in L_+^1$ let $g(x,y)= \min(f(x), f(y))$. Is $g\in L_{+}^1$?

Interpolation of $L^p$ spaces (from book by Caffarelli-Cabre)

Surjectivity of multiplication operator on $L^p$ space

The dual space of $C_0(\mathbb{R})$ can't be identified as $L_1(\mathbb{R})$

Examples of functions $L_p(\mu)$ but not $L_p(\mu)$ and viceversa

Convergence of $L^p$ norm to $L^1$ norm as $p\to 1$

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