List questions from harmonic-analysis

Published on 13 Apr 2026 - 15:17

76

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Is $ \sup_{r>0}\frac{1}{m(B_r(x))}\int_{B_r(x)} f(y)dy =\sup_{R>0}\sup_{r \in(0,R)}\frac{1}{m(B_r(x))}\int_{B_r(x)}f(y)dy$?

Published on 16 Apr 2026 - 0:44

56

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Properties of a weighted maximal function $\sup_{r>0}\frac{1}{[m(B_r(x))]^\alpha}\int_{B_r(x)} f(y) dy$

Published on 13 Apr 2026 - 16:52

212

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A (counter)example in harmonic Hardy spaces.

Published on 13 May 2026 - 20:08

50

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Fourier coefficients of measurable homomorphism from $\mathbb{T}$ to $T^*$

Published on 12 Apr 2026 - 20:18

73

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Embedding $L^p(\mathbb{T})$ into $h(D)$

Published on 14 Apr 2026 - 5:08

2.2k

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Computing the phase in a Fourier Transform

Published on 16 Apr 2026 - 19:50

861

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Is harmonic Hardy space $h^p (D)$ complete for $0<p<1$?

Published on 10 May 2026 - 14:26

104

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Motivation of Fourier Coefficents

Published on 14 Apr 2026 - 1:53

194

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Subharmonic functions problem

Published on 11 May 2026 - 2:01

142

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Find the function that minimizes a simple quadratic functional

Published on 13 Apr 2026 - 21:32

58

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Orientation of Edges in Images

Published on 10 May 2026 - 16:56

336

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Problem on convergence of Cesaro mean of Fourier series

Published on 10 Apr 2026 - 18:58

156

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Iterating the quasi-triangle inequality.

Published on 13 Apr 2026 - 18:27

905

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Real analysis Folland problem 8.18

Published on 12 Apr 2026 - 3:23

List Question

What's the Fourier transform of the p-Laplacian operator $\Delta_{p}$?

Is $ \sup_{r>0}\frac{1}{m(B_r(x))}\int_{B_r(x)} f(y)dy =\sup_{R>0}\sup_{r \in(0,R)}\frac{1}{m(B_r(x))}\int_{B_r(x)}f(y)dy$?

Properties of a weighted maximal function $\sup_{r>0}\frac{1}{[m(B_r(x))]^\alpha}\int_{B_r(x)} f(y) dy$

A (counter)example in harmonic Hardy spaces.

Fourier coefficients of measurable homomorphism from $\mathbb{T}$ to $T^*$

Embedding $L^p(\mathbb{T})$ into $h(D)$

Computing the phase in a Fourier Transform

Is harmonic Hardy space $h^p (D)$ complete for $0<p<1$?

Motivation of Fourier Coefficents

Subharmonic functions problem

Find the function that minimizes a simple quadratic functional

Orientation of Edges in Images

Problem on convergence of Cesaro mean of Fourier series

Iterating the quasi-triangle inequality.

Real analysis Folland problem 8.18

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