List questions from hardy-spaces | MathQA

What is the domain of functions in $\mathcal H_2$?

Published on 17 Sep 2022 - 17:08

$\int_{-\pi}^{\pi}{\frac{d\theta}{[(1-r)^2 + 2\pi^{-2}\theta^2]^p}} < \frac{1}{(1-r)^{2p-1}}\int_{-\infty}^{\infty}{\frac{dt}{[1+2\pi^{-2}t^2]^p}}$

Published on 15 Oct 2022 - 16:04

Let $f\in L^2(\Bbb{T}),\ f\ne0$ and $M=\overline{f\wp_+}$. Prove that, $M$ is simply invariant for $\chi_1$ iff $f\notin \chi_N M$ for some $N>0$

Published on 07 Nov 2022 - 18:53

Approximations of BMO functions

Published on 01 Dec 2022 - 6:02

If sequence of finite Blaschke Products $(B_n)_{n\in N}$ converges uniformly to $B$ then $\frac{B_n(z)}{z^m}$ converges uniformly to $\frac{B}{z^m}$

Published on 23 Feb 2026 - 10:51

Inverting series with logs and W

Published on 04 Jan 2023 - 8:16

Show $\lim_{t \to 0} \frac{\sigma\left( \left\{ e^{is} : s \in (\theta - t, \theta + t \right\} \right)}{2t}=0$ for singular measure $\sigma$ of $T$

Published on 19 Jan 2023 - 3:25