List questions from hardy-spaces

Published on 05 Sep 2018 - 15:43

91

Views

Range of the Bergman projection.

Published on 24 Feb 2026 - 1:35

167

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Convergence of Fourier series in Bergman norm

Published on 24 Feb 2026 - 1:39

75

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Looking for an explicit $f\in C(\mathbb{T})$ such that $t\mapsto\sum_{n=0}^{\infty}\hat{f}(n)e^{int}\notin L^\infty(\mathbb{T})$.

Published on 17 Sep 2018 - 12:32

73

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If $f$ is in a weighted Bergman space for the upper half plane, then $\forall\varepsilon>0, z\mapsto f(z+i\varepsilon)$ is in the Hardy space.

Published on 24 Feb 2026 - 1:37

74

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What is the closure of $h^2(U)$ in the topology of the uniform convergence on upper half planes?

Published on 03 Oct 2018 - 14:23

121

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Is a de-zeroed Hardy function still Hardy?

Published on 07 Oct 2018 - 23:18

51

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How much can the hypotheses of the Schwarz integral formula be weakened?

Published on 09 Feb 2019 - 11:33

114

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Wiener's tauberian theorem for Hardy space

Published on 19 Mar 2026 - 20:14

146

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Question on Douglas, Banach Algebra, Hardy spaces

Published on 13 Apr 2019 - 15:31

195

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Hardy inner product for the right half plane

Published on 11 May 2019 - 12:02

50

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Is $H^\infty(\mathbb{C_+}) \subset H^2(\mathbb{C_+})$?

Published on 27 Jun 2019 - 7:45

77

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Weighted Hardy space composition

Published on 04 Aug 2019 - 16:30

96

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Functions on the unit circle having finitely many zeroes

Published on 02 Sep 2019 - 14:21

295

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Hardy Space Cancellation Condition

Published on 28 Mar 2014 - 19:35

List Question

Regarding Poisson kernel being in $h^p(\mathbb{D})$

Range of the Bergman projection.

Convergence of Fourier series in Bergman norm

Looking for an explicit $f\in C(\mathbb{T})$ such that $t\mapsto\sum_{n=0}^{\infty}\hat{f}(n)e^{int}\notin L^\infty(\mathbb{T})$.

If $f$ is in a weighted Bergman space for the upper half plane, then $\forall\varepsilon>0, z\mapsto f(z+i\varepsilon)$ is in the Hardy space.

What is the closure of $h^2(U)$ in the topology of the uniform convergence on upper half planes?

Is a de-zeroed Hardy function still Hardy?

How much can the hypotheses of the Schwarz integral formula be weakened?

Wiener's tauberian theorem for Hardy space

Question on Douglas, Banach Algebra, Hardy spaces

Hardy inner product for the right half plane

Is $H^\infty(\mathbb{C_+}) \subset H^2(\mathbb{C_+})$?

Weighted Hardy space composition

Functions on the unit circle having finitely many zeroes

Hardy Space Cancellation Condition

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