List questions from lp-spaces

Published on 15 Apr 2026 - 18:07

54

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Bound a norm $L^{2}$

Published on 15 May 2026 - 16:00

69

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Integral not defined in 0

Published on 13 Apr 2026 - 16:53

211

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Holder's inequality on weighted $L^p$ space

Published on 14 Apr 2026 - 18:24

149

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Some problems in the application of Arzelà–Ascoli theorem

Published on 16 May 2026 - 7:48

103

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density of the set of sequences that eventually converges to 0

Published on 14 Apr 2026 - 3:23

49

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On elliptic operators with non-continuous coefficients

Published on 15 May 2026 - 17:04

166

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Orthonormal basis for $L^2(R^d)$

Published on 17 Apr 2026 - 12:10

49

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Suppose $X_n \to X$ in $L^p$. Show that E$|X^p_r| \to E|X^p|$.

Published on 17 Apr 2026 - 11:15

61

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How to understand if a function is in $L^p$ space?

Published on 10 Apr 2026 - 0:24

18

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Example of weak convergence in $L^p(B_1(0))$

Published on 16 Apr 2026 - 6:52

201

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Step functions are not dense in $L_\infty$

Published on 14 Apr 2026 - 13:21

52

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A finite-$L_p$-norm measurable funtion that is a counterexample for an easy inequality

Published on 13 Apr 2026 - 10:13

167

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Pointwise convergence of Sobolev functions implies uniform convergence

Published on 15 Apr 2026 - 16:13

45

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Convergence criteria in $L^p$

Published on 15 Apr 2026 - 5:27

List Question

Is $B_R:=\left\{(x_n)_n: \sum_{n\geq 1} |x_n|^p\leq R\right\}$ closed in $\ell^2$?

Bound a norm $L^{2}$

Integral not defined in 0

Holder's inequality on weighted $L^p$ space

Some problems in the application of Arzelà–Ascoli theorem

density of the set of sequences that eventually converges to 0

On elliptic operators with non-continuous coefficients

Orthonormal basis for $L^2(R^d)$

Suppose $X_n \to X$ in $L^p$. Show that E$|X^p_r| \to E|X^p|$.

How to understand if a function is in $L^p$ space?

Example of weak convergence in $L^p(B_1(0))$

Step functions are not dense in $L_\infty$

A finite-$L_p$-norm measurable funtion that is a counterexample for an easy inequality

Pointwise convergence of Sobolev functions implies uniform convergence

Convergence criteria in $L^p$

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