In this paper, we define and study the mixed-norm Hardy spaces with variable exponents. We establish some general principles for the mapping properties of sublinear operators on the mixed-norm Hardy spaces with variable exponents. By using these principles, we obtain the mapping properties of the Calderón–Zygmund operators, the oscillatory singular integral operators, the multiplier operators, the Littlewood–Paley functions, the intrinsic square functions, the parametric Marcinkiewicz integrals and the maximal Bochner–Riesz means on the mixed-norm Hardy spaces with variable exponents.

中文翻译：

---

具有可变指数的混合范数Hardy空间上的亚线性算子

在本文中，我们定义并研究了具有可变指数的混合范数Hardy空间。我们建立了具有可变指数的混合范数Hardy空间上次线性算子映射性质的一些一般原理。通过使用这些原理，我们获得了Calderón–Zygmund算子，振荡奇异积分算子，乘子算子，Littlewood–Paley函数，内在平方函数，参数Marcinkiewicz积分和最大Bochner–Riesz均值的映射性质具有可变指数的混合范数Hardy空间。