List questions from lp-spaces

Published on 25 Feb 2026 - 2:26

123

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On summability of functions in weighted Lebesgue spaces

Published on 06 Apr 2026 - 17:32

176

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Space of finite signed measures

Published on 01 Apr 2026 - 9:30

86

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Showing that $(x,r) \mapsto A_r f(x)$ is continuous

Published on 06 Apr 2026 - 11:16

53

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Regularity of functions in weighted Sobolev spaces

Published on 06 Apr 2026 - 19:08

74

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Bartle’s Measure Theory, exercise 6F

Published on 25 Jun 2023 - 5:42

126

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Doubt on the definition of heat kernel

Published on 08 Apr 2026 - 23:51

42

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If $u\in C^1(I)\cap L^p(I)$ and $u' \in L^p(I)$, then $u \in W^{1,p}(I)$

Published on 06 Apr 2026 - 19:11

89

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Question About the Proof of Lemma 8.2 from Brezis

Published on 06 Apr 2026 - 19:10

132

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Convergence in $L^p$ spaces for $0 < p \leq 1$.

Published on 28 Jun 2023 - 16:50

95

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Showing $f$ has a weak derivative in $L^p$

Published on 28 Jun 2023 - 20:52

96

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An $L^2 $ martingale $M_n$ is bounded in $L^2$ if and only if $\sum_{k=1}^{\infty} E[M_k-M_{k-1}]^2 < \infty$

Published on 03 Apr 2026 - 0:22

92

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Schwarz Space contained in L^p?

Published on 30 Jun 2023 - 16:28

30

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Brezis' exercise 6.18.1: does $S_r$ or $S_{\ell}$ belong to $\mathcal{K}(E)$?

Published on 28 Mar 2026 - 9:55

59

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convergence of $\int_{-1}^1\sin(n\pi x)f(x)dx$ to $0$

Published on 30 Jun 2023 - 22:04

List Question

Convergence in sequential Lebesgue spaces.

On summability of functions in weighted Lebesgue spaces

Space of finite signed measures

Showing that $(x,r) \mapsto A_r f(x)$ is continuous

Regularity of functions in weighted Sobolev spaces

Bartle’s Measure Theory, exercise 6F

Doubt on the definition of heat kernel

If $u\in C^1(I)\cap L^p(I)$ and $u' \in L^p(I)$, then $u \in W^{1,p}(I)$

Question About the Proof of Lemma 8.2 from Brezis

Convergence in $L^p$ spaces for $0 < p \leq 1$.

Showing $f$ has a weak derivative in $L^p$

An $L^2 $ martingale $M_n$ is bounded in $L^2$ if and only if $\sum_{k=1}^{\infty} E[M_k-M_{k-1}]^2 < \infty$

Schwarz Space contained in L^p?

Brezis' exercise 6.18.1: does $S_r$ or $S_{\ell}$ belong to $\mathcal{K}(E)$?

convergence of $\int_{-1}^1\sin(n\pi x)f(x)dx$ to $0$

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