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arXiv · 2212.08714

P. Jones'Interpolation theorem for noncommutative martingale Hardy spaces

Narcisse Randrianantoanina
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Abstract

Let $\mathcal{M}$ be a semifinite von Nemann algebra equipped with an increasing filtration $(\mathcal{M}_n)_{n\geq 1}$ of (semifinite) von Neumann subalgebras of $\M$. For $0 0$, \[ \big(\h_\Phi^c(\mathcal{M}), \h_\infty^c(\mathcal{M})\big)_{\theta, r}=\h_{\Phi_0, r}^c(\mathcal{M}) \] where $\h_{\Phi_0,r}^c(\mathcal{M})$ is the noncommutative column Hardy space associated with the Orlicz-Lorentz space $L_{\Phi_0,r}$.

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Narcisse Randrianantoanina. 2022-12-16. P. Jones'Interpolation theorem for noncommutative martingale Hardy spaces. https://arxiv.org/abs/2212.08714

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