Question

Suppose $f$ is continuous, $K$ is compact and $f(x)=0, \forall x\not\in K$, $\int_K f=\int_U f$

score 250 · Answer 1 · 2026-04-15 22:26:14

250

Views

Suppose $f$ is continuous, $K$ is compact and $f(x)=0, \forall x\not\in K$, $\int_K f=\int_U f$

Published on 15 Apr 2026 - 22:26

score 65 · Answer 2 · 2026-04-12 15:59:27

65

Views

What is $F_\mu(\mu)$?

Published on 12 Apr 2026 - 15:59

score 113 · Answer 3 · 2026-04-15 04:42:18

113

Views

Convergent subsequence in $L^1$

Published on 15 Apr 2026 - 4:42

score 582 · Answer 4 · 2026-04-17 15:58:04

582

Views

Definition of sigma algebra of a group

Published on 17 Apr 2026 - 15:58

score 104 · Answer 5 · 2026-04-09 11:18:33

104

Views

Doubt in understanding extension theorem

Published on 09 Apr 2026 - 11:18

score 413 · Answer 6 · 2026-05-16 20:28:25

413

Views

Show m( ∪ ) = () + *() iff there exists measurable sets A1 and B1 such that ⊂ A1 , ⊂ B1 and (A1 ∩ B1 ) = 0.

Published on 16 May 2026 - 20:28

score 59 · Answer 7 · 2026-04-09 14:15:38

59

Views

Convergence (in distribution) of Markov process

Published on 09 Apr 2026 - 14:15

score 85 · Answer 8 · 2026-05-15 14:12:26

85

Views

Is there a probabilistic Turing machine whose halting probability is non-measurable?

Published on 15 May 2026 - 14:12

score 744 · Answer 9 · 2026-05-16 02:39:12

744

Views

To prove a map from a measurable space to a set with a $\sigma$-algebra generated by a family of subsets.

Published on 16 May 2026 - 2:39

score 39 · Answer 10 · 2026-04-12 10:51:48

39

Views

Can some transformation of a function always be found such that it has a specified integral?

Published on 12 Apr 2026 - 10:51

score 550 · Answer 11 · 2026-05-16 20:28:26

550

Views

Lebesgue outer measure of image of set is less than or equal to the Lebesgue outer measure of set

Published on 16 May 2026 - 20:28

score 472 · Answer 12 · 2026-05-11 02:19:37

472

Views

When does Riemann-Lebesgue lemma hold in general?

Published on 11 May 2026 - 2:19

score 126 · Answer 13 · 2026-05-16 20:35:40

126

Views

$ \mu(|f|\geq \alpha) = \frac{1}{\alpha} ||f||_1$

Published on 16 May 2026 - 20:35

score 64 · Answer 14 · 2026-04-13 01:19:19

64

Views

What does abbreviation $ecnd$ represent in the book "Real variable and Integration" of the author $ John \ Benedetto$?

Published on 13 Apr 2026 - 1:19

score 166 · Answer 15 · 2026-05-16 20:32:26

166

Views

Proving that the integral of a function with respect to a measure is finite when the measure is bounded

Published on 16 May 2026 - 20:32

List Question

Suppose $f$ is continuous, $K$ is compact and $f(x)=0, \forall x\not\in K$, $\int_K f=\int_U f$

What is $F_\mu(\mu)$?

Convergent subsequence in $L^1$

Definition of sigma algebra of a group

Doubt in understanding extension theorem

Show m( ∪ ) = () + *() iff there exists measurable sets A1 and B1 such that ⊂ A1 , ⊂ B1 and (A1 ∩ B1 ) = 0.

Convergence (in distribution) of Markov process

Is there a probabilistic Turing machine whose halting probability is non-measurable?

To prove a map from a measurable space to a set with a $\sigma$-algebra generated by a family of subsets.

Can some transformation of a function always be found such that it has a specified integral?

Lebesgue outer measure of image of set is less than or equal to the Lebesgue outer measure of set

When does Riemann-Lebesgue lemma hold in general?

$ \mu(|f|\geq \alpha) = \frac{1}{\alpha} ||f||_1$

What does abbreviation $ecnd$ represent in the book "Real variable and Integration" of the author $ John \ Benedetto$?

Proving that the integral of a function with respect to a measure is finite when the measure is bounded

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