Variational characterization of H^p

Honghai Liu

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arXiv · 1706.01673

Variational characterization of H^p

Honghai Liu

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Abstract

In this paper we obtain the variational characterization of Hardy space $H^p$ for $p\in(\frac n{n+1},1]$ and get estimates for the oscillation operator and the $\lambda$-jump operator associated with approximate identities acting on $H^p$ for $p\in(\frac n{n+1},1]$. Moreover, we give counterexamples to show that the oscillation and $\lambda$-jump associated with some approximate identity can not be used to characterize $H^p$ for $p\in(\frac n{n+1},1]$.

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Honghai Liu. 2017-06-06. Variational characterization of H^p. https://arxiv.org/abs/1706.01673

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