List questions from lp-spaces

Published on 25 Mar 2026 - 11:17

123

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Characterization of $L^p$ function

Published on 19 Jun 2019 - 14:14

417

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Use Fatou Lemma to show that $f$ takes real values almost everywhere.

Published on 21 Jun 2019 - 21:12

115

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Why is boundedness sufficient for well-definedness

Published on 25 Mar 2026 - 9:47

123

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Why are weights defined to be locally integrable?

Published on 29 Mar 2026 - 14:00

343

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Does translation operator preserve norm on weighted Lebesgue spaces?

Published on 22 Jun 2019 - 16:02

94

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Let X be a measurable set with $ \mu (X) < \infty $ and $ 1 \leq p < \infty $... ($L^p$ spaces

Published on 30 Mar 2026 - 6:50

25

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Splitting function from $L^{n/2}$

Published on 23 Jun 2019 - 15:57

212

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Is it true that a sequence $ f_n \to f $ of measurable functions is bounded by a norm of $ L^p $ then $ f_n $ converges to $f$ in $ L^p $?

Published on 25 Mar 2026 - 8:13

337

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How to prove this countable intersection is empty?

Published on 24 Jun 2019 - 4:35

143

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weighted young inequality

Published on 24 Jun 2019 - 8:36

143

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Showing $2(\|f\|_{L_p}^p+\|g\|_{L_p}^p)\le\|f-g\|_{L_p}^p+\|f+g\|_{L_p}^p$

Published on 24 Jun 2019 - 13:37

31

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Find a functions $(f_{n})_{n}$ so that they converge in $L^{\infty}([-N,N])$ but not $L^{\infty}(\mathbb R)$

Published on 24 Jun 2019 - 16:29

62

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Is my Interpretation of $L^{1}$ and $L^{\infty}$ correct in this case

Published on 24 Jun 2019 - 21:54

57

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Why $\lim_{m\rightarrow\infty}F_m(x)=\liminf_{m\rightarrow\infty}F_m(x)=f(x)$?

Published on 24 Jun 2019 - 22:39

List Question

Hahn-Banach extension for positive functionals

Characterization of $L^p$ function

Use Fatou Lemma to show that $f$ takes real values almost everywhere.

Why is boundedness sufficient for well-definedness

Why are weights defined to be locally integrable?

Does translation operator preserve norm on weighted Lebesgue spaces?

Let X be a measurable set with $ \mu (X) < \infty $ and $ 1 \leq p < \infty $... ($L^p$ spaces

Splitting function from $L^{n/2}$

Is it true that a sequence $ f_n \to f $ of measurable functions is bounded by a norm of $ L^p $ then $ f_n $ converges to $f$ in $ L^p $?

How to prove this countable intersection is empty?

weighted young inequality

Showing $2(\|f\|_{L_p}^p+\|g\|_{L_p}^p)\le\|f-g\|_{L_p}^p+\|f+g\|_{L_p}^p$

Find a functions $(f_{n})_{n}$ so that they converge in $L^{\infty}([-N,N])$ but not $L^{\infty}(\mathbb R)$

Is my Interpretation of $L^{1}$ and $L^{\infty}$ correct in this case

Why $\lim_{m\rightarrow\infty}F_m(x)=\liminf_{m\rightarrow\infty}F_m(x)=f(x)$?

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