List questions from hardy-spaces

1.7k

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$L^{1}$ Boundedness of Hilbert Transform on $\left\{f\in L^{1}(\mathbb{R}) : \int_{\mathbb{R}}f=0\right\}$

Published on 01 May 2026 - 18:08

108

Views

Invariant Subspace Vs Reducing Subspace in some special Hilbert space

Published on 28 Apr 2026 - 1:00

151

Views

Hardy-Littlewood theorem about the Poisson integral for $p=1$

Published on 01 Apr 2026 - 4:40

260

Views

Inverse error function, its analytic continuation and Hardy space

Published on 19 Apr 2026 - 8:51

590

Views

Cyclic vector in $\ell^2(\mathbb{Z})$ space

Published on 07 May 2026 - 3:51

309

Views

How to prove Mellin transform on $L^2[0,1]$ is unitary?

Published on 05 Mar 2016 - 13:06

414

Views

Hardy space on the upper plane

Published on 25 Mar 2026 - 19:08

1.8k

Views

Is Riemann–Lebesgue lemma valuble in $L2(\mathbb{R})$

Published on 06 Apr 2026 - 22:48

82

Views

Compostion on $H^2(U)$

Published on 25 Apr 2026 - 5:32

403

Views

Hardy space on unit disk $\mathbb{D}$ and Hardy space on the upper half plane $\mathbb{H}$

Published on 25 Mar 2026 - 19:03

165

Views

Invariant subspace shift operator $\psi H^2$

Published on 25 Mar 2026 - 19:01

94

Views

Interchanging Limit and Integral sign

Published on 25 Mar 2026 - 19:00

191

Views

Does this function belong to $H^1(\mathbb D)$?

Published on 25 Mar 2026 - 19:00

136

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Moments of positive Carleson measure

Published on 25 Mar 2026 - 22:06

122

Views

Prove that $S$is a closed subspace of $H^2$ invariant under multiplication by $z$. Find the inner function $F$ such that $S=FH^2$

Published on 15 Apr 2026 - 5:30

List Question

$L^{1}$ Boundedness of Hilbert Transform on $\left\{f\in L^{1}(\mathbb{R}) : \int_{\mathbb{R}}f=0\right\}$

Invariant Subspace Vs Reducing Subspace in some special Hilbert space

Hardy-Littlewood theorem about the Poisson integral for $p=1$

Inverse error function, its analytic continuation and Hardy space

Cyclic vector in $\ell^2(\mathbb{Z})$ space

How to prove Mellin transform on $L^2[0,1]$ is unitary?

Hardy space on the upper plane

Is Riemann–Lebesgue lemma valuble in $L2(\mathbb{R})$

Compostion on $H^2(U)$

Hardy space on unit disk $\mathbb{D}$ and Hardy space on the upper half plane $\mathbb{H}$

Invariant subspace shift operator $\psi H^2$

Interchanging Limit and Integral sign

Does this function belong to $H^1(\mathbb D)$?

Moments of positive Carleson measure

Prove that $S$is a closed subspace of $H^2$ invariant under multiplication by $z$. Find the inner function $F$ such that $S=FH^2$

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