List questions from lp-spaces

Published on 11 Apr 2026 - 3:59

65

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Is $\sin(kx) $ a complete system in $L^{2}(0,b)$ for every k in $\mathbb{R}$?

Published on 13 Apr 2026 - 6:36

234

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Giving a bound of the norm of a convolution

Published on 11 Apr 2026 - 11:04

221

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Dimension of a certain $L^p$ quotient space.

Published on 29 Mar 2026 - 3:12

1.4k

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Counterexample to Rellich-Kondrachov Compactness Theorem, case $q=p^*$

Published on 09 Apr 2026 - 3:57

601

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Exercise 4.1 in Brezis' Functional analysis

Published on 11 Apr 2026 - 9:25

179

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a Bound for functions in $L^p$ after convolution with a $G_\lambda$ almost a heat Kernel

Published on 14 Apr 2026 - 5:05

47

Views

Relations between the topologies of $L^0$ and $L^1$ on finite measure space

Published on 17 Jun 2015 - 11:53

642

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Exercise 8.1 in Brezis' Functional Analysis

Published on 11 Apr 2026 - 7:21

220

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About equi-integrability

Published on 11 Apr 2026 - 14:31

112

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A question on Hölder inequality

Published on 13 Apr 2026 - 5:52

710

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Convergence in probability implies boundedness in $L^1$?

Published on 12 Apr 2026 - 16:17

847

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Prove that a series converges in $L^2(\Omega)$

Published on 11 Apr 2026 - 12:56

33

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Is a function $f \in \mathbb{C}^{ \infty}[0,l]$ always in $L^2(0,l)$?

Published on 14 Apr 2026 - 6:36

43

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Question regarding convergence in $L^p$ spaces.

Published on 12 Apr 2026 - 23:53

List Question

A question in ${l^\infty }$

Is $\sin(kx) $ a complete system in $L^{2}(0,b)$ for every k in $\mathbb{R}$?

Giving a bound of the norm of a convolution

Dimension of a certain $L^p$ quotient space.

Counterexample to Rellich-Kondrachov Compactness Theorem, case $q=p^*$

Exercise 4.1 in Brezis' Functional analysis

a Bound for functions in $L^p$ after convolution with a $G_\lambda$ almost a heat Kernel

Relations between the topologies of $L^0$ and $L^1$ on finite measure space

Exercise 8.1 in Brezis' Functional Analysis

About equi-integrability

A question on Hölder inequality

Convergence in probability implies boundedness in $L^1$?

Prove that a series converges in $L^2(\Omega)$

Is a function $f \in \mathbb{C}^{ \infty}[0,l]$ always in $L^2(0,l)$?

Question regarding convergence in $L^p$ spaces.

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