List questions from lp-spaces

Published on 04 Sep 2014 - 6:34

1.6k

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BMO functions are $L^p$ Loc for all $1<p<\infty$

Published on 07 Sep 2014 - 18:50

76

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$L^p$ integrability of products of Gaussian variables

Published on 07 Sep 2014 - 23:56

72

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Is $f(x) \in L^p(\mathbb R)$ always bounded for $x\longrightarrow\pm\infty$?

Published on 09 Sep 2014 - 8:08

122

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If $\int u\varphi = 0$ for all $\varphi \in C_c^\infty(M)$ with $\int_M \varphi =0$, is $u=0$ a.e.?

Published on 11 Sep 2014 - 13:46

450

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Supremum of integrals of products of functions in $L^p$ space

Published on 13 Sep 2014 - 22:34

71

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Properties of $L^p$ spaces

Published on 16 Sep 2014 - 12:29

307

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The proof of a Sobolev embedding inequality by a compactness argument

Published on 27 Mar 2026 - 6:17

1.4k

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Prove that $c_0$ is closed in $\ell^\infty$

Published on 20 Sep 2014 - 20:34

231

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Wiener Algebra, absolute convergence of fourier series

Published on 01 Apr 2026 - 3:44

123

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tough lp inequalities

Published on 01 Apr 2026 - 3:20

278

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Estimating the modulus of continuity of translation in $L^2$ by a Sobolev norm of the function

Published on 01 Apr 2026 - 3:45

191

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L^2 space convolution inequality

Published on 26 Mar 2026 - 9:44

152

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Translations in $L^p(\mathbb{R}^n)$

Published on 22 Sep 2014 - 9:14

295

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Convergence of Fourier series in $L^\infty$

Published on 01 Apr 2026 - 3:44

List Question

$f, f'\in L^{1}(\mathbb R) \implies \lim_{x\to \infty} f(x)=0 ?$

BMO functions are $L^p$ Loc for all $1<p<\infty$

$L^p$ integrability of products of Gaussian variables

Is $f(x) \in L^p(\mathbb R)$ always bounded for $x\longrightarrow\pm\infty$?

If $\int u\varphi = 0$ for all $\varphi \in C_c^\infty(M)$ with $\int_M \varphi =0$, is $u=0$ a.e.?

Supremum of integrals of products of functions in $L^p$ space

Properties of $L^p$ spaces

The proof of a Sobolev embedding inequality by a compactness argument

Prove that $c_0$ is closed in $\ell^\infty$

Wiener Algebra, absolute convergence of fourier series

tough lp inequalities

Estimating the modulus of continuity of translation in $L^2$ by a Sobolev norm of the function

L^2 space convolution inequality

Translations in $L^p(\mathbb{R}^n)$

Convergence of Fourier series in $L^\infty$

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