We establish the mapping properties of the singular integral operators, the Fourier integral operators and the geometric maximal operators on the Orlicz-slice spaces by using extrapolation. By extending the extrapolation theory to the Hardy Orlicz-slice spaces, we also obtain the mapping properties of the maximal Bochner-Riesz means, the parametric Marcinkiewicz integrals and the multiplier operators on the Hardy Orlicz-slice spaces.

中文翻译：

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Orlicz-slice空间和Orlicz-slice Hardy空间上的算子

通过外推建立奇异积分算子，傅立叶积分算子和最大几何算子在Orlicz-slice空间上的映射性质。通过将外推理论扩展到Hardy Orlicz-slice空间，我们还获得了最大Bochner-Riesz均值，参数Marcinkiewicz积分和Hardy Orlicz-slice空间上的乘算子的映射性质。