Question

Is multiplication with $e^{ax}$ a bounded operator in $L^2(\mathbb{R})$

score 98 · Answer 1 · 2020-05-02 17:15:37

98

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Is multiplication with $e^{ax}$ a bounded operator in $L^2(\mathbb{R})$

Published on 02 May 2020 - 17:15

score 212 · Answer 2 · 2020-05-04 15:35:32

212

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Pratt's lemma and convergence in measure

Published on 04 May 2020 - 15:35

score 40 · Answer 3 · 2026-03-26 14:21:19

40

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The completion of $C_c(\mathbb{R}^k)$ with $\|f - g\|_p$ as a metric

Published on 26 Mar 2026 - 14:21

score 204 · Answer 4 · 2026-04-06 02:51:19

204

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Laplace Transformation for measurable functions

Published on 06 Apr 2026 - 2:51

score 53 · Answer 5 · 2026-03-26 06:00:46

53

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Convolution operator on $L_\infty(\ell_q)$

Published on 26 Mar 2026 - 6:00

score 109 · Answer 6 · 2020-05-05 16:34:59

109

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Closure of $C^\infty(\Omega)$ with respect to non-standard norm

Published on 05 May 2020 - 16:34

score 89 · Answer 7 · 2020-05-06 18:54:12

89

Views

Mean Square Convergence with Square Root n Term

Published on 06 May 2020 - 18:54

score 87 · Answer 8 · 2020-05-07 07:13:51

87

Views

Weak Limit of $f_n = \sum_{i=1}^{2^n} (-1)^{i-1} 1_{\big[ \frac{i-1}{2^n}, \frac{i}{2^n} \big) }$ in $L^p$

Published on 07 May 2020 - 7:13

score 64 · Answer 9 · 2026-03-29 03:21:45

64

Views

Problem on the inequality in $L^p$ spaces

Published on 29 Mar 2026 - 3:21

score 44 · Answer 10 · 2020-05-07 16:57:26

44

Views

What conditions on $p$ and $q$ to for which the operator $T_g: L^p([0,1]) \to L^q([0,1])$ is bounded, where $T_g(f)=gf$

Published on 07 May 2020 - 16:57

score 62 · Answer 11 · 2020-05-07 18:51:06

62

Views

Let $(\mathbb{R},\mathscr{P}(\mathbb{R}),\phi)$ be a measure space... ¿$\mathcal L ^{1}(\phi)=\mathcal L ^{2}(\phi)$?

Published on 07 May 2020 - 18:51

score 86 · Answer 12 · 2026-03-26 06:19:03

86

Views

About isometry in $l_ \infty$

Published on 26 Mar 2026 - 6:19

score 143 · Answer 13 · 2026-04-03 07:35:18

143

Views

Counterexample for weak convergence in $L^p$ if p=1

Published on 03 Apr 2026 - 7:35

score 21 · Answer 14 · 2020-05-09 09:29:47

21

Views

What is the right exponent such that $f, g\in L^p(\mathbb{R}^3)$?

Published on 09 May 2020 - 9:29

score 50 · Answer 15 · 2020-05-09 18:13:39

50

Views

$\lim_{h \to 0} \frac{F(x+h)-F(x)}{h^{1/q}} = 0$ for $F(x)=\int^{x}_{0}f(t)dt$ for $f \in L^{p}[0,1]$

Published on 09 May 2020 - 18:13

List Question

Is multiplication with $e^{ax}$ a bounded operator in $L^2(\mathbb{R})$

Pratt's lemma and convergence in measure

The completion of $C_c(\mathbb{R}^k)$ with $\|f - g\|_p$ as a metric

Laplace Transformation for measurable functions

Convolution operator on $L_\infty(\ell_q)$

Closure of $C^\infty(\Omega)$ with respect to non-standard norm

Mean Square Convergence with Square Root n Term

Weak Limit of $f_n = \sum_{i=1}^{2^n} (-1)^{i-1} 1_{\big[ \frac{i-1}{2^n}, \frac{i}{2^n} \big) }$ in $L^p$

Problem on the inequality in $L^p$ spaces

What conditions on $p$ and $q$ to for which the operator $T_g: L^p([0,1]) \to L^q([0,1])$ is bounded, where $T_g(f)=gf$

Let $(\mathbb{R},\mathscr{P}(\mathbb{R}),\phi)$ be a measure space... ¿$\mathcal L ^{1}(\phi)=\mathcal L ^{2}(\phi)$?

About isometry in $l_ \infty$

Counterexample for weak convergence in $L^p$ if p=1

What is the right exponent such that $f, g\in L^p(\mathbb{R}^3)$?

$\lim_{h \to 0} \frac{F(x+h)-F(x)}{h^{1/q}} = 0$ for $F(x)=\int^{x}_{0}f(t)dt$ for $f \in L^{p}[0,1]$

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