Spaces between $H^1$ and $L^1$

Wael Abushammala; Alberto Torchinsky

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arXiv · math/0511207

Spaces between $H^1$ and $L^1$

Wael Abushammala·Alberto Torchinsky

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Abstract

In this paper we consider the $X_s$ spaces that lie between $H^1(R^n)$ and $L^1(R^n)$. We discuss the interpolation properties of these spaces, and the behavior of maximal functions and singular integrals acting on them.

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Wael Abushammala, Alberto Torchinsky. 2005-11-08. Spaces between $H^1$ and $L^1$. https://arxiv.org/abs/math/0511207

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