List questions from lp-spaces

Published on 05 May 2026 - 20:44

29

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$f(x)=\log|2\sin(\frac{x}{2})| \in L^2(-\pi,\pi)$

Published on 16 Apr 2026 - 20:04

920

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Hilbert transform of Schwartz function is in $L^1$ iff $\int_{\mathbb R} f=0$

Published on 15 Apr 2026 - 0:06

86

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Is $C_c^{k}(\mathbb{R}^n)$ dense in $L^p(\mathbb{R}^n) \cap C^{k}(\mathbb{R}^n)$?

Published on 17 Apr 2026 - 9:28

116

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An smooth approximation of Radon measure

Published on 11 Apr 2026 - 23:09

77

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Coefficients of Fourier series such that $\sum_{n=1}^{n=\infty}c^2_{n}<\infty$

Published on 15 Apr 2026 - 4:32

206

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Question regarding the proof of $C[0,1]$ is dense in $L^p[0,1]$

Published on 14 Apr 2026 - 4:53

42

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How does $L^2$ differs for $X_n$ with $\mathbb{P}[X_n = \frac{1}{n}] = 1 - \frac{1}{n^2}$ and $\mathbb{P}[X_n = n] = \frac{1}{n^2}$?

Published on 14 Apr 2026 - 18:28

117

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Sequence convergence in $\ell^1$

Published on 14 Apr 2026 - 1:47

66

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Examples in which $m(X)=∞ $ and $L^p(X,B,m)⊂L^q(X,B,m)$ for some p,q with 1⩽p<q<∞?

Published on 17 Apr 2026 - 6:22

153

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Does weak convergence imply $L^2$-norm convergence?

Published on 09 Apr 2026 - 20:03

46

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A question related to $L^p$ space

Published on 15 Apr 2026 - 17:57

48

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$f$ is limit a.e. of a Cauchy sequence in $L_1$

Published on 16 Apr 2026 - 20:04

52

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sorting of infinite positive vector from $\ell_{1}$

Published on 14 Apr 2026 - 8:40

46

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What will be $\sigma (T)\ $?

Published on 12 Apr 2026 - 10:03

List Question

Weak convergence in $L^2$ of powers of a sequence which is weakly convergent in $W^{1,2}$

$f(x)=\log|2\sin(\frac{x}{2})| \in L^2(-\pi,\pi)$

Hilbert transform of Schwartz function is in $L^1$ iff $\int_{\mathbb R} f=0$

Is $C_c^{k}(\mathbb{R}^n)$ dense in $L^p(\mathbb{R}^n) \cap C^{k}(\mathbb{R}^n)$?

An smooth approximation of Radon measure

Coefficients of Fourier series such that $\sum_{n=1}^{n=\infty}c^2_{n}<\infty$

Question regarding the proof of $C[0,1]$ is dense in $L^p[0,1]$

How does $L^2$ differs for $X_n$ with $\mathbb{P}[X_n = \frac{1}{n}] = 1 - \frac{1}{n^2}$ and $\mathbb{P}[X_n = n] = \frac{1}{n^2}$?

Sequence convergence in $\ell^1$

Examples in which $m(X)=∞ $ and $L^p(X,B,m)⊂L^q(X,B,m)$ for some p,q with 1⩽p<q<∞?

Does weak convergence imply $L^2$-norm convergence?

A question related to $L^p$ space

$f$ is limit a.e. of a Cauchy sequence in $L_1$

sorting of infinite positive vector from $\ell_{1}$

What will be $\sigma (T)\ $?

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