List questions from lp-spaces

Published on 07 Apr 2026 - 1:42

68

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Convergence in $L^2(\mathbb{R})$ to interchange integral and limit.

Published on 01 Mar 2023 - 19:14

44

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Relatively Compactness in $L^{\infty}(-T,T;L^1(B_r))$

Published on 06 Mar 2023 - 13:26

84

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Examples of dense $G_\delta$ sets in $L^p$ spaces

Published on 29 Mar 2026 - 13:41

81

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Interpolation in Lebesgue-Bochner $L^p-L^q$ spaces.

Published on 26 Mar 2026 - 2:54

80

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Under which assumptions on $f$ we can deduce that $g\in L^\infty$?

Published on 08 Mar 2023 - 12:12

63

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Boundedness of integral operator induced by kernel $K(x,y) := \frac{1}{x+y}$.

Published on 25 Mar 2026 - 6:05

43

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Dual of $L^p_{loc}$ and weak star convergence.

Published on 27 Mar 2026 - 16:25

72

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Dual operator of Markovian operator

Published on 08 Apr 2026 - 16:23

87

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Total sets for $L^p$ for every $1\leq p < \infty$.

Published on 15 Mar 2023 - 16:17

90

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Non equivalent norms on $L^2$

Published on 15 Mar 2023 - 20:34

123

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Interpolation between $L^p(\mathbb R^n)$ and $\operatorname{BMO}(\mathbb R^n)$

Published on 25 Mar 2026 - 7:43

91

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Is the inclusion $L^{\infty}L^{p} \cap L^{q}L^{\infty} \subset L^{\infty}L^{\infty}$ true?

Published on 18 Mar 2023 - 11:43

60

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Is this Hardy-like operator $f \mapsto x^{-\frac{1}{2}} \int_{x}^{2x} f(y) dy$ bounded from $L^2$ to $L^2$?

Published on 25 Mar 2026 - 3:22

57

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Functions that can be approximated by derivatives of test functions

Published on 06 Apr 2026 - 4:13

List Question

Why isn't this proof sufficient for showing that $L^\infty$ is a Banach space?

Convergence in $L^2(\mathbb{R})$ to interchange integral and limit.

Relatively Compactness in $L^{\infty}(-T,T;L^1(B_r))$

Examples of dense $G_\delta$ sets in $L^p$ spaces

Interpolation in Lebesgue-Bochner $L^p-L^q$ spaces.

Under which assumptions on $f$ we can deduce that $g\in L^\infty$?

Boundedness of integral operator induced by kernel $K(x,y) := \frac{1}{x+y}$.

Dual of $L^p_{loc}$ and weak star convergence.

Dual operator of Markovian operator

Total sets for $L^p$ for every $1\leq p < \infty$.

Non equivalent norms on $L^2$

Interpolation between $L^p(\mathbb R^n)$ and $\operatorname{BMO}(\mathbb R^n)$

Is the inclusion $L^{\infty}L^{p} \cap L^{q}L^{\infty} \subset L^{\infty}L^{\infty}$ true?

Is this Hardy-like operator $f \mapsto x^{-\frac{1}{2}} \int_{x}^{2x} f(y) dy$ bounded from $L^2$ to $L^2$?

Functions that can be approximated by derivatives of test functions

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