Question

Can we say anything about the first distributional derivatives of $g$, where $g$ is the solution to $-\Delta g =f\in L^p$ given by Riesz potential?

score 112 · Answer 1 · 2026-05-11 01:54:37

112

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Can we say anything about the first distributional derivatives of $g$, where $g$ is the solution to $-\Delta g =f\in L^p$ given by Riesz potential?

Published on 11 May 2026 - 1:54

score 133 · Answer 2 · 2026-04-10 16:22:13

133

Views

Shattering with sinusoids

Published on 10 Apr 2026 - 16:22

score 139 · Answer 3 · 2026-05-10 18:28:01

139

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Can we extend the Riesz potential convolution operator for the Laplacian to a continuous operator from $L^p$ to $\mathcal{S}'$ if $p\ge\frac{n}{2}$?

Published on 10 May 2026 - 18:28

score 519 · Answer 4 · 2026-04-12 11:48:18

519

Views

Interchanging Integration Order involving Fourier Transform

Published on 12 Apr 2026 - 11:48

score 193 · Answer 5 · 2026-05-10 15:09:12

193

Views

A problem from Folland: constructing Haar measure from Lebesgue measure

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score 229 · Answer 6 · 2026-04-14 16:42:34

229

Views

Dyadic decomposition in $\mathbb{R}$.

Published on 14 Apr 2026 - 16:42

score 356 · Answer 7 · 2026-05-10 15:08:12

356

Views

Understanding Gelfand–Raikov theorem

Published on 10 May 2026 - 15:08

score 420 · Answer 8 · 2026-04-15 18:35:26

420

Views

How to calculate $c_a$ where $\left(f\mapsto\int_{\mathbb{R}}\frac{f(t)-f(0)}{|t|^{a}}dt\right)=c_a\mathcal{F}_x(|x|^{-1+a})$

Published on 15 Apr 2026 - 18:35

score 478 · Answer 9 · 2026-04-13 04:27:53

478

Views

Relation between Holder norm and fractional laplacian

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score 136 · Answer 10 · 2026-04-08 22:23:46

136

Views

A question about Fourier transform of measures

Published on 08 Apr 2026 - 22:23

score 284 · Answer 11 · 2026-04-11 08:29:21

284

Views

Question on a step of the proof of Theorem 1.25 of Introduction to Fourier Analysis on Euclidean Spaces

Published on 11 Apr 2026 - 8:29

score 44 · Answer 12 · 2026-04-12 04:37:56

44

Views

An attempt to gain insight into a fascinating result on harmonic functions

Published on 12 Apr 2026 - 4:37

score 121 · Answer 13 · 2026-04-13 02:56:46

121

Views

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Published on 13 Apr 2026 - 2:56

score 1k · Answer 14 · 2026-04-12 04:27:04

1k

Views

How to show a tempered distribution is a Schwartz function?

Published on 12 Apr 2026 - 4:27

score 226 · Answer 15 · 2026-04-11 02:33:06

226

Views

Why are there two different recurrences for Gegenbauer polynomials?

Published on 11 Apr 2026 - 2:33

List Question

Can we say anything about the first distributional derivatives of $g$, where $g$ is the solution to $-\Delta g =f\in L^p$ given by Riesz potential?

Shattering with sinusoids

Can we extend the Riesz potential convolution operator for the Laplacian to a continuous operator from $L^p$ to $\mathcal{S}'$ if $p\ge\frac{n}{2}$?

Interchanging Integration Order involving Fourier Transform

A problem from Folland: constructing Haar measure from Lebesgue measure

Dyadic decomposition in $\mathbb{R}$.

Understanding Gelfand–Raikov theorem

How to calculate $c_a$ where $\left(f\mapsto\int_{\mathbb{R}}\frac{f(t)-f(0)}{|t|^{a}}dt\right)=c_a\mathcal{F}_x(|x|^{-1+a})$

Relation between Holder norm and fractional laplacian

A question about Fourier transform of measures

Question on a step of the proof of Theorem 1.25 of Introduction to Fourier Analysis on Euclidean Spaces

An attempt to gain insight into a fascinating result on harmonic functions

How to Calculate the Fourier transform of $\frac{1}{x-c}$?

How to show a tempered distribution is a Schwartz function?

Why are there two different recurrences for Gegenbauer polynomials?

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