Abstract
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-Hölder continuous condition.
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Communicated by Yong Jiao.
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He, Y. The dual space of variable weak Hardy space \({\mathcal {H}}^{p(\cdot ),\infty }({{\mathbb {R}}}^n)\). Ann. Funct. Anal. 11, 1027–1041 (2020). https://doi.org/10.1007/s43034-020-00068-8
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DOI: https://doi.org/10.1007/s43034-020-00068-8