List questions from harmonic-analysis

Published on 23 Feb 2026 - 17:19

85

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Convolution with imaginary Gaussian cannot be a $(p, p)$ operator unless $p=2$

Published on 14 Nov 2015 - 4:41

130

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Fundamental solution of a shifted operator

Published on 16 Nov 2015 - 12:34

385

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average of maximal function is less than its infimum?

Published on 17 Nov 2015 - 1:53

106

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Integration of hypergeometric functions?

Published on 18 Nov 2015 - 21:39

131

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What condition on $f$ makes the formula $(−\Delta)^sf(x)=c_{n,s}\int_{\mathbb{R}^n}\frac{f(x)−f(y)}{|x−y|^{n+2s}}dy$ true?

Published on 19 Nov 2015 - 2:18

1.2k

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Real vs Complex Interpolation

Published on 05 Apr 2026 - 22:39

289

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Exactness of harmonic sum using Mellin transformation

Published on 03 Apr 2026 - 4:27

316

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Continuous Littlewood-Paley Inequality

Published on 11 Mar 2026 - 4:33

688

Views

Fourier Transform of a kernel

Published on 21 Nov 2015 - 16:08

2.9k

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Product of two sinusoidal functions model

Published on 02 Apr 2026 - 17:27

1.3k

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Is Rudin correct here? Fubini's theorem and product measures

Published on 22 Nov 2015 - 4:44

151

Views

Hardy-Littlewood theorem about the Poisson integral for $p=1$

Published on 01 Apr 2026 - 4:40

487

Views

Fractional Sobolev Space Trace Inequality

Published on 25 Mar 2026 - 14:27

283

Views

Is there a stable probability distribution on the rational numbers?

Published on 28 Mar 2026 - 4:33

List Question

A stronger form of the weak $(1,1)$ inequality for the Hardy-Littlewood maximal function

Convolution with imaginary Gaussian cannot be a $(p, p)$ operator unless $p=2$

Fundamental solution of a shifted operator

average of maximal function is less than its infimum?

Integration of hypergeometric functions?

What condition on $f$ makes the formula $(−\Delta)^sf(x)=c_{n,s}\int_{\mathbb{R}^n}\frac{f(x)−f(y)}{|x−y|^{n+2s}}dy$ true?

Real vs Complex Interpolation

Exactness of harmonic sum using Mellin transformation

Continuous Littlewood-Paley Inequality

Fourier Transform of a kernel

Product of two sinusoidal functions model

Is Rudin correct here? Fubini's theorem and product measures

Hardy-Littlewood theorem about the Poisson integral for $p=1$

Fractional Sobolev Space Trace Inequality

Is there a stable probability distribution on the rational numbers?

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