List questions from lebesgue-integral

Published on 09 Nov 2014 - 9:43

63

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Continuous functions dense in $L_p(X,\mu)$ if $X$ has a special property

Published on 27 Mar 2026 - 4:21

1k

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Definitions of Lebesgue integral

Published on 09 Nov 2014 - 15:09

340

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Lebesgue Integral: Convexity

Published on 09 Nov 2014 - 21:00

334

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A bounded function is Riemann integrable over [a,b] and its Rieman integral equals its Lebesgue integral

Published on 10 Nov 2014 - 8:10

73

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Composition of measureable function with continuou function in $L^2[0,1]$

Published on 10 Nov 2014 - 10:52

22

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composition of measureable function with $\sqrt x$ in $L^2[0,1]$

Published on 11 Nov 2014 - 1:29

670

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What is the correct definition of Area?

Published on 25 Mar 2026 - 21:48

195

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Can I change the order of summation here?

Published on 11 Nov 2014 - 11:59

32

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Is it necessary to take the inferior limit of this sequence of integrals

Published on 11 Nov 2014 - 12:56

412

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Restriction of a finite measure to a set on unbounded function

Published on 11 Nov 2014 - 15:18

159

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Convergence as for the norm

Published on 12 Nov 2014 - 0:27

140

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Sentences about Lebesgue integrable function

Published on 12 Nov 2014 - 12:11

134

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Almost everywhere (surely) properties

Published on 12 Nov 2014 - 19:15

389

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Show that $\lim_{t \to 0} \int_{\mathbb{R}^d}|f(x)-f(x-t)|dx = 0$

Published on 13 Nov 2014 - 2:30

List Question

Approximation of $f\in L_p$ with simple function $f_n\in L_p$

Continuous functions dense in $L_p(X,\mu)$ if $X$ has a special property

Definitions of Lebesgue integral

Lebesgue Integral: Convexity

A bounded function is Riemann integrable over [a,b] and its Rieman integral equals its Lebesgue integral

Composition of measureable function with continuou function in $L^2[0,1]$

composition of measureable function with $\sqrt x$ in $L^2[0,1]$

What is the correct definition of Area?

Can I change the order of summation here?

Is it necessary to take the inferior limit of this sequence of integrals

Restriction of a finite measure to a set on unbounded function

Convergence as for the norm

Sentences about Lebesgue integrable function

Almost everywhere (surely) properties

Show that $\lim_{t \to 0} \int_{\mathbb{R}^d}|f(x)-f(x-t)|dx = 0$

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