List questions from lp-spaces

Published on 14 Apr 2026 - 0:38

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Using layer cake representation in proving Hardy-Littlewood-Sobolev inequality

Published on 11 Apr 2026 - 22:15

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$L^\infty$ and Sobolev spaces

Published on 05 May 2026 - 16:41

57

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A general question about inequalities

Published on 10 Apr 2026 - 11:57

134

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A question about expectation of $L^{p}$ norms.

Published on 10 Apr 2026 - 20:02

181

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How to prove this subspace of $W^{2,2}$ is Hilbert?

Published on 05 May 2026 - 16:43

133

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Prove that if $|g(x)|\leq a\big( 1+x \big)^{-n-b}$ then $g\in L^1(\mathbb{R^n})$

Published on 15 Apr 2026 - 19:03

241

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Norm of the operator $T(x_1,x_2,\cdots , x_n,\cdots )=(x_2-x_1, x_3-x_2,\cdots, x_{n+1}-x_n, \cdots).$

Published on 17 Apr 2026 - 14:25

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If $u \in C$, $|\int u \phi_{ij}| \leq 2 \|h\|_p \|\phi\|_{p'} \forall \phi \in C_c^\infty$, then $\|u_{ij}\|_p \leq 2\|h\|_p$?

Published on 16 Apr 2026 - 1:15

77

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Banach space adjoint as a matrix

Published on 14 Apr 2026 - 4:35

178

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How to find all solutions to $f\star f=f$ in $L^2(\mathbb{R})$?

Published on 11 Apr 2026 - 19:57

93

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Decay estimate of $L^2$ integral.

Published on 14 Apr 2026 - 20:28

272

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$L^2$ convergence for variance of a Brownian motion

Published on 29 Apr 2026 - 13:28

27

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$f, g$ measurable, $\lVert g\rVert_1=1$ and $0 \le a \le f \le b$ so $\int_{\mathbb{R^n}} \frac{g}{f}dx \ge \frac{1}{\int_{\mathbb{R^n}} fg dx}$

Published on 16 Apr 2026 - 22:48

84

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Generalization of Poincaré Inequality

Published on 16 Apr 2026 - 13:26

List Question

Folland real analysis 6.28

Using layer cake representation in proving Hardy-Littlewood-Sobolev inequality

$L^\infty$ and Sobolev spaces

A general question about inequalities

A question about expectation of $L^{p}$ norms.

How to prove this subspace of $W^{2,2}$ is Hilbert?

Prove that if $|g(x)|\leq a\big( 1+x \big)^{-n-b}$ then $g\in L^1(\mathbb{R^n})$

Norm of the operator $T(x_1,x_2,\cdots , x_n,\cdots )=(x_2-x_1, x_3-x_2,\cdots, x_{n+1}-x_n, \cdots).$

If $u \in C$, $|\int u \phi_{ij}| \leq 2 \|h\|_p \|\phi\|_{p'} \forall \phi \in C_c^\infty$, then $\|u_{ij}\|_p \leq 2\|h\|_p$?

Banach space adjoint as a matrix

How to find all solutions to $f\star f=f$ in $L^2(\mathbb{R})$?

Decay estimate of $L^2$ integral.

$L^2$ convergence for variance of a Brownian motion

$f, g$ measurable, $\lVert g\rVert_1=1$ and $0 \le a \le f \le b$ so $\int_{\mathbb{R^n}} \frac{g}{f}dx \ge \frac{1}{\int_{\mathbb{R^n}} fg dx}$

Generalization of Poincaré Inequality

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