List questions from harmonic-analysis

Published on 26 Mar 2026 - 8:20

397

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Unbounded Hilbert Transform of $C_{c}(\mathbb{R})$ Function

Published on 27 Oct 2015 - 13:43

356

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Is a bounded function always the Hilbert transform of some other function?

Published on 29 Oct 2015 - 12:42

447

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where to find a proof of Littlewood-Paley theorem by Khintchine's inequality

Published on 24 Mar 2026 - 15:24

112

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$\hat{H} \cong G/H^{\perp}$?

Published on 01 Apr 2026 - 23:10

55

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How to show that the metric $\frac{|dz|^2}{y^2}$ and the 2-form $\frac{dz \wedge d\overline{z}}{(-2i)y^2}$ are $SL_2$-invariant measures?

Published on 31 Mar 2026 - 7:12

117

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Use the Holder inequality to show that $f \ast g \in C_c(G)$

Published on 02 Nov 2015 - 4:49

53

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If $\|g - g_x\|_{\infty}$ is small, then so is $\|g - g_x\|_p$

Published on 02 Nov 2015 - 21:22

554

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Harmonic function and Neumann Compatibility Condition

Published on 01 Apr 2026 - 3:04

257

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Reference for the spectrum of the Bochner Laplacian on the 2-sphere.

Published on 01 Apr 2026 - 7:57

767

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Error in Stein Shakarchi Exercise on $H^{1}(\mathbb{R})$ and $L\log L$

Published on 05 Nov 2015 - 16:20

702

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Criterion for Membership in Hardy Space $H^{1}(\mathbb{R}^{n})$

Published on 06 Mar 2026 - 10:15

1.7k

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$L^{1}$ Boundedness of Hilbert Transform on $\left\{f\in L^{1}(\mathbb{R}) : \int_{\mathbb{R}}f=0\right\}$

Published on 30 Mar 2026 - 13:42

204

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Riemann Lebesgue Lemma for locally compact ableian groups

Published on 29 Mar 2026 - 12:40

262

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Dense Subspace of $L_{0}^{1}(\mathbb{R}^{n})$

Published on 12 Nov 2015 - 3:26

List Question

Littlewood-Paley theorem at endpoints

Unbounded Hilbert Transform of $C_{c}(\mathbb{R})$ Function

Is a bounded function always the Hilbert transform of some other function?

where to find a proof of Littlewood-Paley theorem by Khintchine's inequality

$\hat{H} \cong G/H^{\perp}$?

How to show that the metric $\frac{|dz|^2}{y^2}$ and the 2-form $\frac{dz \wedge d\overline{z}}{(-2i)y^2}$ are $SL_2$-invariant measures?

Use the Holder inequality to show that $f \ast g \in C_c(G)$

If $\|g - g_x\|_{\infty}$ is small, then so is $\|g - g_x\|_p$

Harmonic function and Neumann Compatibility Condition

Reference for the spectrum of the Bochner Laplacian on the 2-sphere.

Error in Stein Shakarchi Exercise on $H^{1}(\mathbb{R})$ and $L\log L$

Criterion for Membership in Hardy Space $H^{1}(\mathbb{R}^{n})$

$L^{1}$ Boundedness of Hilbert Transform on $\left\{f\in L^{1}(\mathbb{R}) : \int_{\mathbb{R}}f=0\right\}$

Riemann Lebesgue Lemma for locally compact ableian groups

Dense Subspace of $L_{0}^{1}(\mathbb{R}^{n})$

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