List questions from hardy-spaces

Published on 10 Apr 2026 - 22:51

95

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Range of the Bergman projection.

Published on 11 Apr 2026 - 21:40

169

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Convergence of Fourier series in Bergman norm

Published on 11 Apr 2026 - 21:40

78

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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 16 Apr 2026 - 22:31

75

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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 11 Apr 2026 - 21:40

77

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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 14 Apr 2026 - 2:40

124

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Is a de-zeroed Hardy function still Hardy?

Published on 10 Apr 2026 - 3:07

54

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

Published on 09 Apr 2026 - 15:42

119

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Wiener's tauberian theorem for Hardy space

Published on 25 Apr 2026 - 8:23

149

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Question on Douglas, Banach Algebra, Hardy spaces

Published on 12 Apr 2026 - 8:01

199

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Hardy inner product for the right half plane

Published on 15 Apr 2026 - 3:32

53

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

Published on 12 Apr 2026 - 1:54

82

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Weighted Hardy space composition

Published on 12 Apr 2026 - 6:44

99

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Functions on the unit circle having finitely many zeroes

Published on 13 Apr 2026 - 23:30

299

Views

Hardy Space Cancellation Condition

Published on 14 Apr 2026 - 7:13

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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