Question

If $\varphi$ is a non-constant inner function in $\mathbb{D}$, then $1/\varphi \notin H^p$ for $p>0$

score 76 · Answer 1 · 2026-04-26 12:19:12

76

Views

If $\varphi$ is a non-constant inner function in $\mathbb{D}$, then $1/\varphi \notin H^p$ for $p>0$

Published on 26 Apr 2026 - 12:19

score 107 · Answer 2 · 2026-04-29 12:50:05

107

Views

Can one take the Hilbert transform of an infinite-time "filtered" signal?

Published on 29 Apr 2026 - 12:50

score 197 · Answer 3 · 2026-05-06 12:24:27

197

Views

Characterization of a positive finite Borel measure on the circle

Published on 06 May 2026 - 12:24

score 457 · Answer 4 · 2026-05-07 12:29:33

457

Views

A proof for a Hardy inequality for holomorphic functions in Hardy space $H^1$

Published on 07 May 2026 - 12:29

score 399 · Answer 5 · 2026-05-07 11:59:19

399

Views

Inner and outer factors in Hardy spaces

Published on 07 May 2026 - 11:59

score 605 · Answer 6 · 2026-05-07 11:42:34

605

Views

Are polynomials dense in $H^\infty$

Published on 07 May 2026 - 11:42

score 136 · Answer 7 · 2026-05-07 14:01:08

136

Views

Regarding invertible functions being outer

Published on 07 May 2026 - 14:01

score 699 · Answer 8 · 2026-05-07 14:25:53

699

Views

Analytic function on the right half-plane, continuous and bounded on the closed right-half plane

Published on 07 May 2026 - 14:25

score 270 · Answer 9 · 2026-05-07 12:03:57

270

Views

Norm convergence for Fourier series in Hardy spaces with $0<p<1$

Published on 07 May 2026 - 12:03

score 374 · Answer 10 · 2026-05-07 02:11:25

374

Views

Convergence of Taylor series in Hardy norm

Published on 07 May 2026 - 2:11

score 211 · Answer 11 · 2026-05-07 13:00:22

211

Views

A (counter)example in harmonic Hardy spaces.

Published on 07 May 2026 - 13:00

score 861 · Answer 12 · 2026-05-10 14:26:01

861

Views

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

Published on 10 May 2026 - 14:26

score 263 · Answer 13 · 2026-05-10 14:25:00

263

Views

Cauchy Integral theorem and Hardy Spaces

Published on 10 May 2026 - 14:25

score 443 · Answer 14 · 2026-05-10 14:25:00

443

Views

Does a holomorphic function on the unit disk with continuous radial limits have a continuous extension to the closed disk?

Published on 10 May 2026 - 14:25

score 122 · Answer 15 · 2026-05-10 14:26:25

122

Views

The spectrum of the Hardy Banach algebra $(H^1(\mathbb{T}),+,*,\|\|_1)$.

Published on 10 May 2026 - 14:26

List Question

If $\varphi$ is a non-constant inner function in $\mathbb{D}$, then $1/\varphi \notin H^p$ for $p>0$

Can one take the Hilbert transform of an infinite-time "filtered" signal?

Characterization of a positive finite Borel measure on the circle

A proof for a Hardy inequality for holomorphic functions in Hardy space $H^1$

Inner and outer factors in Hardy spaces

Are polynomials dense in $H^\infty$

Regarding invertible functions being outer

Analytic function on the right half-plane, continuous and bounded on the closed right-half plane

Norm convergence for Fourier series in Hardy spaces with $0<p<1$

Convergence of Taylor series in Hardy norm

A (counter)example in harmonic Hardy spaces.

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

Cauchy Integral theorem and Hardy Spaces

Does a holomorphic function on the unit disk with continuous radial limits have a continuous extension to the closed disk?

The spectrum of the Hardy Banach algebra $(H^1(\mathbb{T}),+,*,\|\|_1)$.

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