Questions tagged [hardy-spaces]

For questions about Hardy spaces. Use the other related tag like (tag: complex-analysis) or (operator-theory).

Hardy spaces are classes of holomorphic functions on the unit disc which satisfy some integrability conditions. Namely, if $p>0$, then $H^p$ is the space of holomorphic functions such that $$\sup_{r\in (0,1)}\int_0^{2\pi}|f(re^{it})|dt<\infty.$$

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Hardy space of Banach space valued analytic functions

For $p \in [1, \infty)$, let $H^{p}(\mathbb{D},X)$ be the space of analytic functions from $\mathbb{D}$ into a complex Banach space $X$ such that \begin{equation} \label{him-p7-e-1.11} ||f||_{H^{p}(\mathbb{D},X)}= \sup \limits _{0
David M
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