Question

a reference for a well-known theorem of analysis on convolution of a bounded and an $\ell$-integrable function is wanted

score 30 · Answer 1 · 2020-05-17 15:12:55

30

Views

a reference for a well-known theorem of analysis on convolution of a bounded and an $\ell$-integrable function is wanted

Published on 17 May 2020 - 15:12

score 46 · Answer 2 · 2026-03-26 09:48:06

46

Views

Limit of a function in $L^2(\mathbb{R}^N)$

Published on 26 Mar 2026 - 9:48

score 54 · Answer 3 · 2020-05-18 18:51:37

54

Views

What is the right Lebesgue space $L^p_{loc}(\mathbb{R}^3)$ to which the function $\frac{1}{\vert x\vert}$ belongs?

Published on 18 May 2020 - 18:51

score 114 · Answer 4 · 2020-05-19 11:59:44

114

Views

Different functions with the same integral

Published on 19 May 2020 - 11:59

score 158 · Answer 5 · 2020-05-19 17:20:15

158

Views

Measurable function $f: \mathbb{R} \to (0,\infty)$ with $\int \chi_If d\lambda = \infty$ for every open interval of $\mathbb{R}$

Published on 19 May 2020 - 17:20

score 337 · Answer 6 · 2020-05-19 21:33:31

337

Views

Finding the measure of a set using Lebesgue Integral

Published on 19 May 2020 - 21:33

score 59 · Answer 7 · 2020-05-20 00:36:23

59

Views

Integral on a measurable set is almost the integral on the whole set

Published on 20 May 2020 - 0:36

score 68 · Answer 8 · 2020-05-20 11:41:58

68

Views

If $f\in L^1_{loc}(\mathbb{R}^n)$ and $g\in C^{\infty}_c(\mathbb{R}^n)$, it is true that $fg\in L^2(\mathbb{R}^n)?$

Published on 20 May 2020 - 11:41

score 108 · Answer 9 · 2020-05-20 12:07:55

108

Views

The product $(fg)$ of L-integrable $f,g$ which are measurable on $P$-independent sub-$\sigma$-algebras is integrable

Published on 20 May 2020 - 12:07

score 330 · Answer 10 · 2020-05-20 13:52:44

330

Views

Using monotone convergence theorem to find limit of integral

Published on 20 May 2020 - 13:52

score 196 · Answer 11 · 2020-05-20 15:20:28

196

Views

Let $\mu_n$ be measures and $\mu=\sum_{n=1}^\infty \mu_n$. Show for measurable, positive $f$: $\int_Xf\ d\mu = \sum\int_X f\ d\mu_n$

Published on 20 May 2020 - 15:20

score 75 · Answer 12 · 2020-05-20 21:23:40

75

Views

Proving that a sequence of functions is a sequence of mollifiers.

Published on 20 May 2020 - 21:23

score 98 · Answer 13 · 2020-05-20 23:50:24

98

Views

Compute the integral of $e^{-x}$

Published on 20 May 2020 - 23:50

score 125 · Answer 14 · 2020-05-22 06:02:29

125

Views

$f(x+1/n)\to f$ in $L^1(\mathbb{R})$

Published on 22 May 2020 - 6:02

score 313 · Answer 15 · 2026-02-24 08:29:55

313

Views

Dominated Convergence Theorem and Holomorphic Functions

Published on 24 Feb 2026 - 8:29

List Question

a reference for a well-known theorem of analysis on convolution of a bounded and an $\ell$-integrable function is wanted

Limit of a function in $L^2(\mathbb{R}^N)$

What is the right Lebesgue space $L^p_{loc}(\mathbb{R}^3)$ to which the function $\frac{1}{\vert x\vert}$ belongs?

Different functions with the same integral

Measurable function $f: \mathbb{R} \to (0,\infty)$ with $\int \chi_If d\lambda = \infty$ for every open interval of $\mathbb{R}$

Finding the measure of a set using Lebesgue Integral

Integral on a measurable set is almost the integral on the whole set

If $f\in L^1_{loc}(\mathbb{R}^n)$ and $g\in C^{\infty}_c(\mathbb{R}^n)$, it is true that $fg\in L^2(\mathbb{R}^n)?$

The product $(fg)$ of L-integrable $f,g$ which are measurable on $P$-independent sub-$\sigma$-algebras is integrable

Using monotone convergence theorem to find limit of integral

Let $\mu_n$ be measures and $\mu=\sum_{n=1}^\infty \mu_n$. Show for measurable, positive $f$: $\int_Xf\ d\mu = \sum\int_X f\ d\mu_n$

Proving that a sequence of functions is a sequence of mollifiers.

Compute the integral of $e^{-x}$

$f(x+1/n)\to f$ in $L^1(\mathbb{R})$

Dominated Convergence Theorem and Holomorphic Functions

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