List questions from lebesgue-integral

Published on 12 Apr 2026 - 15:57

95

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Two questions about a proof involving a conditional expectation

Published on 12 Apr 2026 - 20:50

278

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Weak closedness in $L^p$ spaces

Published on 26 Mar 2026 - 17:52

166

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How does $d\phi =d\lambda+wd\mu$ define a measure $\phi$?

Published on 11 Apr 2026 - 11:31

1.1k

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Lebesgue Spaces and Integration by parts

Published on 17 Apr 2026 - 13:27

54

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Show that $\iint f(x,y) d \lambda(y) d\lambda(x) \neq \iint f(x,y) d\lambda(x)d\lambda(y)$

Published on 15 Apr 2026 - 10:04

152

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Prove that $\int_Xf(x+y)dm(x) = \int_{X+y}f(x)dm(x)$

Published on 16 Apr 2026 - 1:23

232

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Notation for counting measure in the case of two infinite sums, one being converted to an integral over $\mathbb{N}$?

Published on 11 Apr 2026 - 4:54

130

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Given any pair of rationals $0\leq p<q\leq 1$, in the case $\int_p^q fd\mu =0$ Prove that $f=0$ a.e

Published on 16 Apr 2026 - 18:08

246

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If $\int_0^1 f_n dx \leq a_n $ where $\sum_{n=1}^{\infty}a_n < \infty$ show $f_n \to 0$

Published on 16 Apr 2026 - 18:25

542

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Definition of Lebesgue integral via improper Riemann integral.

Published on 14 Apr 2026 - 15:51

334

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Monotone convergence theorem Lebesgue Integral

Published on 12 Apr 2026 - 8:11

49

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Showing an integral equality with series over the integers

Published on 12 Apr 2026 - 2:09

104

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Lebesgue measure of Borel set $Α$ such that $\mu(Α)>1$

Published on 13 Apr 2026 - 8:27

794

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Characterizing BV functions via the Stieltjes integral

Published on 12 Apr 2026 - 20:16

List Question

Proof that the Cesaro mean converges using integration with respect to counting measure

Two questions about a proof involving a conditional expectation

Weak closedness in $L^p$ spaces

How does $d\phi =d\lambda+wd\mu$ define a measure $\phi$?

Lebesgue Spaces and Integration by parts

Show that $\iint f(x,y) d \lambda(y) d\lambda(x) \neq \iint f(x,y) d\lambda(x)d\lambda(y)$

Prove that $\int_Xf(x+y)dm(x) = \int_{X+y}f(x)dm(x)$

Notation for counting measure in the case of two infinite sums, one being converted to an integral over $\mathbb{N}$?

Given any pair of rationals $0\leq p<q\leq 1$, in the case $\int_p^q fd\mu =0$ Prove that $f=0$ a.e

If $\int_0^1 f_n dx \leq a_n $ where $\sum_{n=1}^{\infty}a_n < \infty$ show $f_n \to 0$

Definition of Lebesgue integral via improper Riemann integral.

Monotone convergence theorem Lebesgue Integral

Showing an integral equality with series over the integers

Lebesgue measure of Borel set $Α$ such that $\mu(Α)>1$

Characterizing BV functions via the Stieltjes integral

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