In this paper, we introduce a closed subspace $${\mathcal {H}}^{p(\cdot ),\infty }({{\mathbb {R}}}^n)$$ of variable weak Hardy spaces $$H^{p(\cdot ),\infty }({{\mathbb {R}}}^n)$$, and give the dual space of $${\mathcal {H}}^{p(\cdot ),\infty }({{\mathbb {R}}}^n)$$ with the variable exponent function $$p(\cdot ): \mathbb {R}^n \rightarrow (0,\infty )$$ satisfying the globally log-Holder continuous condition.

中文翻译：

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变弱哈代空间的对偶空间 $${\mathcal {H}}^{p(\cdot ),\infty }({{\mathbb {R}}}^n)$$Hp(·),∞( Rn)

在本文中，我们引入了一个闭子空间 $${\mathcal {H}}^{p(\cdot ),\infty }({{\mathbb {R}}}^n)$$ 的可变弱哈代空间 $ $H^{p(\cdot ),\infty }({{\mathbb {R}}}^n)$$，并给出 $${\mathcal {H}}^{p(\cdot ),\infty }({{\mathbb {R}}}^n)$$ 与可变指数函数 $$p(\cdot ): \mathbb {R}^n \rightarrow (0,\infty )$$满足全局 log-Holder 连续条件。