List questions from lebesgue-integral

Published on 14 Apr 2026 - 18:28

66

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Regularity of $\phi$ in order that $\int g_h \phi \,dx \to \phi(0)$

Published on 14 Apr 2026 - 12:27

62

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How can I show that the function in my problem is lebesgue integrable?

Published on 10 Apr 2026 - 12:51

202

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A Riemann Integrability Question

Published on 11 Apr 2026 - 18:52

59

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How to show $\int_X \sum_{n=1}^\infty f_n \, d\mu = \sum_{n=1}^\infty \int_X f_n \, d\mu$

Published on 16 Apr 2026 - 14:11

279

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Does this contravene the dominated convergence theorem?

Published on 11 Apr 2026 - 2:35

42

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monotonic linear functional on $C_+(X)$

Published on 12 Apr 2026 - 4:11

51

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Relation between $\mathcal{L}_{1}$ and $\mathcal{L}_{2}$ Norms of a Lebesgue function

Published on 15 Apr 2026 - 10:41

230

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What is so good about the $L^2$-norm of the second derivative being small?

Published on 13 Apr 2026 - 8:24

236

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Interpolation between derivatives

Published on 10 Apr 2026 - 20:04

92

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Complex Measures: Polynomials

Published on 08 Apr 2026 - 9:43

1.9k

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Monotone Convergence theorem for monotone decreasing sequences

Published on 13 Apr 2026 - 18:45

56

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Is $\lim_{p \searrow 1} \|u\|_{L^p(\Omega)} = \|u\|_{L^1(\Omega)}$ true?

Published on 15 Apr 2026 - 21:14

1.5k

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Failure of Newton-Leibniz formula

Published on 09 Apr 2026 - 11:23

96

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Equivalent way of writing the norm of Lp

Published on 14 Apr 2026 - 2:14

List Question

weak topology and weak* topology on $L^1, L^{\infty}$

Regularity of $\phi$ in order that $\int g_h \phi \,dx \to \phi(0)$

How can I show that the function in my problem is lebesgue integrable?

A Riemann Integrability Question

How to show $\int_X \sum_{n=1}^\infty f_n \, d\mu = \sum_{n=1}^\infty \int_X f_n \, d\mu$

Does this contravene the dominated convergence theorem?

monotonic linear functional on $C_+(X)$

Relation between $\mathcal{L}_{1}$ and $\mathcal{L}_{2}$ Norms of a Lebesgue function

What is so good about the $L^2$-norm of the second derivative being small?

Interpolation between derivatives

Complex Measures: Polynomials

Monotone Convergence theorem for monotone decreasing sequences

Is $\lim_{p \searrow 1} \|u\|_{L^p(\Omega)} = \|u\|_{L^1(\Omega)}$ true?

Failure of Newton-Leibniz formula

Equivalent way of writing the norm of Lp

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