We study various types of uniform Calderón–Zygmund estimates for weak solutions to elliptic equations in periodic homogenization. A global regularity is obtained with respect to the nonhomogeneous term from weighted Lebesgue spaces, Orlicz spaces, and weighted Orlicz spaces, which are generalized Lebesgue spaces, provided that the coefficients have small BMO seminorms and the domains are δ-Reifenberg domains.

中文翻译：

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用周期结构中广义Lebesgue空间的数据进行一致估计

我们研究了周期均质化中椭圆方程弱解的各种类型的统一Calderón-Zygmund估计。关于非齐次项，可以从加权Lebesgue空间，Orlicz空间和加权Orlicz空间（它们是广义Lebesgue空间）获得关于非齐次项的全局正则性，前提是系数的BMO半范数较小，且域为δ-Reifenberg域。