Question

Prove a norm equality (Composition operator on Hardy space)

score 77 · Answer 1 · 2026-03-25 08:06:59

77

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Prove a norm equality (Composition operator on Hardy space)

Published on 25 Mar 2026 - 8:06

score 86 · Answer 2 · 2026-04-15 06:39:38

86

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Fourier coefficents of harmoinc $L^{1}$ functions in the disk

Published on 15 Apr 2026 - 6:39

score 101 · Answer 3 · 2026-04-16 11:31:08

101

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Do we have correspondance of all of $L^{p}(T)$ and $h^{p}(D)$ $p\in (1,\infty)$?

Published on 16 Apr 2026 - 11:31

score 178 · Answer 4 · 2026-04-16 15:43:02

178

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On boundedness of $\int_{\mathbb{T}}\mid\log(|f(rz)|) \mid d\lambda $ if $f$ is analytic

Published on 16 Apr 2026 - 15:43

score 188 · Answer 5 · 2026-04-13 14:24:39

188

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On possible typo in statement in theorem on $H^{p}$ functions

Published on 13 Apr 2026 - 14:24

score 74 · Answer 6 · 2026-04-10 22:24:08

74

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On Fatous theorem and what it means in terms of approximate identities

Published on 10 Apr 2026 - 22:24

score 417 · Answer 7 · 2026-04-14 14:17:01

417

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On proving Herlgotz representation of analytic function with positive real part.

Published on 14 Apr 2026 - 14:17

score 88 · Answer 8 · 2026-04-12 16:11:23

88

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Relation between Hardy and Dirichlet norms for holomorphic rational functions

Published on 12 Apr 2026 - 16:11

score 631 · Answer 9 · 2026-04-17 05:01:50

631

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How to show that the one sided Laplace transform is bounded?

Published on 17 Apr 2026 - 5:01

score 154 · Answer 10 · 2026-04-13 22:49:12

154

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Show that $F=\{f\in H^1(D):\|f\|\le 1\}$ is locally bounded family

Published on 13 Apr 2026 - 22:49

score 72 · Answer 11 · 2026-04-17 11:31:32

72

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If $\phi^n$ belongs to $H^2(\mathbb D)$ for each $n\geq 1$, then does it imply $\phi$ belongs to $H^\infty(\mathbb D)?$

Published on 17 Apr 2026 - 11:31

score 182 · Answer 12 · 2026-04-11 17:10:26

182

Views

How can one prove easily that the Corona Theorem on the Hardy Space implies the Corona Theorem with bounds

Published on 11 Apr 2026 - 17:10

score 107 · Answer 13 · 2026-04-13 01:14:23

107

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Find the upper bound of $|f'(\alpha)|$ where $\parallel f\parallel_{H^2}\leq 1$ and $\alpha\in U$, the open unit disk

Published on 13 Apr 2026 - 1:14

score 680 · Answer 14 · 2026-04-17 11:53:47

680

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Prove $\int_{-\pi}^{\pi} \left| 1 - \frac{|z|}{r}e^{iu}\right|^{-q} \mathrm{d}u \leq \left( 1 - \frac{|z|}{r}\right)^{-q-1}$

Published on 17 Apr 2026 - 11:53

score 756 · Answer 15 · 2026-04-11 20:39:39

756

Views

Reproducing kernel vs. Riesz kernel.

Published on 11 Apr 2026 - 20:39

List Question

Prove a norm equality (Composition operator on Hardy space)

Fourier coefficents of harmoinc $L^{1}$ functions in the disk

Do we have correspondance of all of $L^{p}(T)$ and $h^{p}(D)$ $p\in (1,\infty)$?

On boundedness of $\int_{\mathbb{T}}\mid\log(|f(rz)|) \mid d\lambda $ if $f$ is analytic

On possible typo in statement in theorem on $H^{p}$ functions

On Fatous theorem and what it means in terms of approximate identities

On proving Herlgotz representation of analytic function with positive real part.

Relation between Hardy and Dirichlet norms for holomorphic rational functions

How to show that the one sided Laplace transform is bounded?

Show that $F=\{f\in H^1(D):\|f\|\le 1\}$ is locally bounded family

If $\phi^n$ belongs to $H^2(\mathbb D)$ for each $n\geq 1$, then does it imply $\phi$ belongs to $H^\infty(\mathbb D)?$

How can one prove easily that the Corona Theorem on the Hardy Space implies the Corona Theorem with bounds

Find the upper bound of $|f'(\alpha)|$ where $\parallel f\parallel_{H^2}\leq 1$ and $\alpha\in U$, the open unit disk

Prove $\int_{-\pi}^{\pi} \left| 1 - \frac{|z|}{r}e^{iu}\right|^{-q} \mathrm{d}u \leq \left( 1 - \frac{|z|}{r}\right)^{-q-1}$

Reproducing kernel vs. Riesz kernel.

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