Explicit upper and lower bounds for the two-dimensional discrete Hardy–Littlewood maximal functions from \(\ell ^{1}({\mathbb {Z}}^{2}) \) to the space of functions of bounded variation \(\mathrm {BV}({\mathbb {Z}}^{2}) \) are obtained.

中文翻译：

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二维离散 Hardy-Littlewood 极大函数的变分不等式

从\(\ell ^{1}({\mathbb {Z}}^{2}) \)到有界变分函数空间\( \mathrm {BV}({\mathbb {Z}}^{2}) \)得到。