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arXiv · 2104.12045

Predual of weak Orlicz spaces

Naoya Hatano·Ryota Kawasumi·Takahiro Ono
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Abstract

In this paper, we consider the predual spaces of weak Orlicz spaces. As an application, we provide the Fefferman-Stein vector-valued maximal inequality for the weak Orlicz spaces. In order to prove this statement, we introduced the Orlicz-Lorentz spaces, and showed the boundedness of the Hardy-Littlewood maximal operator on these spaces.

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Naoya Hatano, Ryota Kawasumi, Takahiro Ono. 2021-04-25. Predual of weak Orlicz spaces. https://arxiv.org/abs/2104.12045

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