Question

Continuity of an integral depending on a parameter resembling convolution by mollifiers

score 63 · Answer 1 · 2026-04-03 23:49:33

63

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Continuity of an integral depending on a parameter resembling convolution by mollifiers

Published on 03 Apr 2026 - 23:49

score 141 · Answer 2 · 2026-04-12 05:17:55

141

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If $C$ has measure zero and is in $[0,1]$ is $[0,1]\backslash$ $C$ dense in $[0,1]$

Published on 12 Apr 2026 - 5:17

score 45 · Answer 3 · 2026-04-10 23:25:48

45

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Can the complement of a subset of $[0,1]$ that has $>0$ measure be dense in $[0,1]$

Published on 10 Apr 2026 - 23:25

score 38 · Answer 4 · 2026-04-12 06:53:59

38

Views

Approximating a finite a.e. function.

Published on 12 Apr 2026 - 6:53

score 771 · Answer 5 · 2026-04-04 01:21:47

771

Views

prove $ \sum_{n=1}^\infty \frac{1}{n^\alpha\sqrt{n |x-x_n|}} $ converges almost everywhere

Published on 04 Apr 2026 - 1:21

score 111 · Answer 6 · 2019-12-30 18:48:36

111

Views

How to show that the limit of the following integrals is zero?

Published on 30 Dec 2019 - 18:48

score 830 · Answer 7 · 2026-04-11 02:03:57

830

Views

Proof of Lebesgue Decomposition Theorem: deducing $\lambda_2<<\mu$.

Published on 11 Apr 2026 - 2:03

score 245 · Answer 8 · 2026-04-04 01:21:47

245

Views

limit of integral of $~f(x+t)-f(x)~$.

Published on 04 Apr 2026 - 1:21

score 119 · Answer 9 · 2026-04-11 16:16:58

119

Views

Is the limit of integrals on the sets with Lebesgue measure converging to zero always zero?

Published on 11 Apr 2026 - 16:16

score 37 · Answer 10 · 2026-03-26 16:06:11

37

Views

Why $\|u\|_{L^{2}}\|v\|_{L^{2}}+\|v'\|_{L^{2}}+\|u'\|_{L^{2}}≤\|v\|_{H^{1}}\|u\|_{H^{1}}$

Published on 26 Mar 2026 - 16:06

score 87 · Answer 11 · 2026-04-04 15:20:37

87

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let $ f(x)=\frac{1}{1+x^{2}}$ find $\lim _{p \to \infty } \|f \|_{p}$?

Published on 04 Apr 2026 - 15:20

score 28 · Answer 12 · 2026-04-04 01:26:35

28

Views

How to calculate this integral $I=lim f^n d\mu$

Published on 04 Apr 2026 - 1:26

score 39 · Answer 13 · 2020-01-07 16:29:07

39

Views

Lebesgue measure of finite number of sets

Published on 07 Jan 2020 - 16:29

score 671 · Answer 14 · 2020-01-08 00:40:24

671

Views

Understanding measurable functions and their definition based on pre-images?

Published on 08 Jan 2020 - 0:40

score 92 · Answer 15 · 2020-01-08 00:52:46

92

Views

$T_{\epsilon}f(x)=\frac{1}{\pi}\int_{-\infty}^{\infty}\frac{\epsilon}{y^2+\epsilon^2}f(x-y) dy$

Published on 08 Jan 2020 - 0:52

List Question

Continuity of an integral depending on a parameter resembling convolution by mollifiers

If $C$ has measure zero and is in $[0,1]$ is $[0,1]\backslash$ $C$ dense in $[0,1]$

Can the complement of a subset of $[0,1]$ that has $>0$ measure be dense in $[0,1]$

Approximating a finite a.e. function.

prove $ \sum_{n=1}^\infty \frac{1}{n^\alpha\sqrt{n |x-x_n|}} $ converges almost everywhere

How to show that the limit of the following integrals is zero?

Proof of Lebesgue Decomposition Theorem: deducing $\lambda_2<<\mu$.

limit of integral of $~f(x+t)-f(x)~$.

Is the limit of integrals on the sets with Lebesgue measure converging to zero always zero?

Why $\|u\|_{L^{2}}\|v\|_{L^{2}}+\|v'\|_{L^{2}}+\|u'\|_{L^{2}}≤\|v\|_{H^{1}}\|u\|_{H^{1}}$

let $ f(x)=\frac{1}{1+x^{2}}$ find $\lim _{p \to \infty } \|f \|_{p}$?

How to calculate this integral $I=lim f^n d\mu$

Lebesgue measure of finite number of sets

Understanding measurable functions and their definition based on pre-images?

$T_{\epsilon}f(x)=\frac{1}{\pi}\int_{-\infty}^{\infty}\frac{\epsilon}{y^2+\epsilon^2}f(x-y) dy$

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