Question

What class of functions $f:\mathbb R\to\mathbb R$ are s.t. every point is a Lebesgue point?

score 91 · Answer 1 · 2018-03-06 18:27:32

91

Views

What class of functions $f:\mathbb R\to\mathbb R$ are s.t. every point is a Lebesgue point?

Published on 06 Mar 2018 - 18:27

score 416 · Answer 2 · 2026-04-09 07:34:24

416

Views

An integral of a positive function over a "small" set is "small".

Published on 09 Apr 2026 - 7:34

score 44 · Answer 3 · 2026-04-10 19:26:11

44

Views

Giving sense to a sum over an uncountable set of elements which are equal to zero

Published on 10 Apr 2026 - 19:26

score 47 · Answer 4 · 2026-04-13 01:17:20

47

Views

Can we find two linearly independent index functions?

Published on 13 Apr 2026 - 1:17

score 51 · Answer 5 · 2026-04-11 10:07:41

51

Views

Clarifications in definition of $\sigma$-algebra?

Published on 11 Apr 2026 - 10:07

score 127 · Answer 6 · 2026-04-12 12:46:35

127

Views

Why is the Lebesgue integral not affected by the presentation of a simple function?

Published on 12 Apr 2026 - 12:46

score 385 · Answer 7 · 2026-04-09 01:59:22

385

Views

Lebesgue measure of a semi-algebraic set

Published on 09 Apr 2026 - 1:59

score 48 · Answer 8 · 2026-03-25 07:45:39

48

Views

$\int f d\delta_y = f(y)$ if $f$ is real-valued and $\delta_y$ is the point mass at $y$

Published on 25 Mar 2026 - 7:45

score 61 · Answer 9 · 2026-04-12 03:09:18

61

Views

What does it mean "to be $\delta_0-$measurable"?

Published on 12 Apr 2026 - 3:09

score 68 · Answer 10 · 2026-04-12 02:41:20

68

Views

I need help understanding this step in the given lemma.

Published on 12 Apr 2026 - 2:41

score 258 · Answer 11 · 2026-03-25 07:45:32

258

Views

$m^*(A)=0$ then there exists Borel measurable sets $B$ and $C$ such that $A=B-C$.

Published on 25 Mar 2026 - 7:45

score 1.1k · Answer 12 · 2026-04-11 09:22:48

1.1k

Views

Integral of $L1$ function against compactly supported smooth function:

Published on 11 Apr 2026 - 9:22

score 67 · Answer 13 · 2026-04-09 02:48:20

67

Views

Is Complement of a Dense Open Subset in R Perfect?

Published on 09 Apr 2026 - 2:48

score 114 · Answer 14 · 2026-03-26 15:17:08

114

Views

$X_{n+1} = \phi_{n+1}(X_n, Y_{n+1})$ yields a Markov chain

Published on 26 Mar 2026 - 15:17

score 3.6k · Answer 15 · 2026-04-12 04:11:07

3.6k

Views

Convergence in Lp implies convergence in Lp norms finite

Published on 12 Apr 2026 - 4:11

List Question

What class of functions $f:\mathbb R\to\mathbb R$ are s.t. every point is a Lebesgue point?

An integral of a positive function over a "small" set is "small".

Giving sense to a sum over an uncountable set of elements which are equal to zero

Can we find two linearly independent index functions?

Clarifications in definition of $\sigma$-algebra?

Why is the Lebesgue integral not affected by the presentation of a simple function?

Lebesgue measure of a semi-algebraic set

$\int f d\delta_y = f(y)$ if $f$ is real-valued and $\delta_y$ is the point mass at $y$

What does it mean "to be $\delta_0-$measurable"?

I need help understanding this step in the given lemma.

$m^*(A)=0$ then there exists Borel measurable sets $B$ and $C$ such that $A=B-C$.

Integral of $L1$ function against compactly supported smooth function:

Is Complement of a Dense Open Subset in R Perfect?

$X_{n+1} = \phi_{n+1}(X_n, Y_{n+1})$ yields a Markov chain

Convergence in Lp implies convergence in Lp norms finite

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