List questions from hardy-spaces

Published on 13 May 2013 - 13:15

927

Views

Showing atomic $H^{1,p}$ is a Banach Space

Published on 21 May 2013 - 2:43

245

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Why p>1, $L^p$ and $H^p$ are essentially the same?

Published on 17 Oct 2013 - 11:32

149

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$L^1(\mathbb{R}^n)$ functions not in $\mathcal{H}^1(\mathbb{R}^n)$

Published on 13 Dec 2013 - 16:41

411

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Prove the orthonormal basis of $L^2(\mu)$

Published on 09 Apr 2017 - 14:52

66

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Equivalent class in $H^2$

Published on 25 Apr 2017 - 3:20

148

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If f is a real function in $H^2\mathbb(D)$ then $f$ is constant.

Published on 02 May 2017 - 10:31

85

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$e^{\lambda \frac{1+z}{1-z}}\in H^2(\mathbb{D})$?

Published on 04 May 2017 - 11:51

306

Views

Example of a function that lies inside the Hardy space $H^1$ but not in the Hardy space $H^2$.

Published on 21 Aug 2017 - 12:35

111

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A conjecture similar to the Hardy inequality

Published on 27 Aug 2017 - 19:58

102

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How to determine $p$ for which $\frac{1}{1-z} \in H^p(\mathbb{D})$

Published on 03 Oct 2017 - 20:26

251

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If a function belongs to $H^p$

Published on 12 Oct 2017 - 13:59

278

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Hardy space as a Banach lattice

Published on 25 Mar 2026 - 7:49

201

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Model space from Blaschke factor

Published on 05 Nov 2017 - 20:47

1.1k

Views

Hardy Spaces: Meaning of $\frac{1}{z}\mathcal{RH}_\infty$

Published on 15 Nov 2017 - 9:26

List Question

Composition of $\mathrm H^p$ function with Möbius transform

Showing atomic $H^{1,p}$ is a Banach Space

Why p>1, $L^p$ and $H^p$ are essentially the same?

$L^1(\mathbb{R}^n)$ functions not in $\mathcal{H}^1(\mathbb{R}^n)$

Prove the orthonormal basis of $L^2(\mu)$

Equivalent class in $H^2$

If f is a real function in $H^2\mathbb(D)$ then $f$ is constant.

$e^{\lambda \frac{1+z}{1-z}}\in H^2(\mathbb{D})$?

Example of a function that lies inside the Hardy space $H^1$ but not in the Hardy space $H^2$.

A conjecture similar to the Hardy inequality

How to determine $p$ for which $\frac{1}{1-z} \in H^p(\mathbb{D})$

If a function belongs to $H^p$

Hardy space as a Banach lattice

Model space from Blaschke factor

Hardy Spaces: Meaning of $\frac{1}{z}\mathcal{RH}_\infty$

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