List questions from lebesgue-integral

Published on 10 Apr 2026 - 19:50

193

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Which integration theory to use?

Published on 09 Apr 2026 - 5:57

1.2k

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Equivalence of the Lebesgue integral and the Henstock–Kurzweil integral on nonnegative real functions

Published on 13 Apr 2026 - 7:59

1k

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Continuous embedding of $L^p$ into $L^q + L^\infty$

Published on 28 Apr 2026 - 15:14

97

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Limit of a sequence of integrals

Published on 14 Apr 2026 - 3:12

140

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Limit of sequence of integrals

Published on 15 Apr 2026 - 3:38

5k

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Riemann-integrable (improperly) but not Lebesgue-integrable

Published on 13 Apr 2026 - 13:39

1.3k

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$E^p$ is a ring, but not a $\sigma$-ring

Published on 15 Apr 2026 - 9:51

67

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For which $g$ is this integral defined?

Published on 15 Apr 2026 - 22:45

1.2k

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The Riemann Integrability of a function similar to Dirichlet's function

Published on 15 Apr 2026 - 3:26

39

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Does $f(u)\in H^1$ imply that also the "inner average" $f(u_h)\in H^1$?

Published on 24 Apr 2026 - 2:26

496

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Question on Rudin's Proof of $\int_{-n}^{n}\hat f(\xi)e^{it\xi}\, d\xi\to f$ in the 2-norm

Published on 14 Apr 2026 - 8:04

256

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Is there a lower bound for $\int_{B_{r}}f$ when $f$ is a positive function?

Published on 14 Apr 2026 - 0:35

120

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integral over almost sure existing derivatives

Published on 12 Apr 2026 - 14:17

103

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Lebesgue's convergence for $H(u_n)\nabla u_n$ where $H$ is not everywhere defined

Published on 28 Apr 2026 - 15:16

List Question

Proof of A Property of Lebesgue Integral

Which integration theory to use?

Equivalence of the Lebesgue integral and the Henstock–Kurzweil integral on nonnegative real functions

Continuous embedding of $L^p$ into $L^q + L^\infty$

Limit of a sequence of integrals

Limit of sequence of integrals

Riemann-integrable (improperly) but not Lebesgue-integrable

$E^p$ is a ring, but not a $\sigma$-ring

For which $g$ is this integral defined?

The Riemann Integrability of a function similar to Dirichlet's function

Does $f(u)\in H^1$ imply that also the "inner average" $f(u_h)\in H^1$?

Question on Rudin's Proof of $\int_{-n}^{n}\hat f(\xi)e^{it\xi}\, d\xi\to f$ in the 2-norm

Is there a lower bound for $\int_{B_{r}}f$ when $f$ is a positive function?

integral over almost sure existing derivatives

Lebesgue's convergence for $H(u_n)\nabla u_n$ where $H$ is not everywhere defined

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