In this paper we study $(s,t)$-weak tractability of the weighted star discrepancy with general coefficients of centered regular grids with different mesh-sizes. We give matching necessary and sufficient conditions on $(s,t)$-weak tractability with $s>0$ and $t\in (0,1]$ in terms of the weight sequences. We also prove that the weighted star discrepancy has $(s,t)$-weak tractability for all $s>0$ and $t>1$.

中文翻译：

---

关于 (s,t) - 规则网格加权星差的弱易处理性的说明

在本文中，我们研究 $(秒,吨)$- 具有不同网格尺寸的中心规则网格的一般系数的加权星差异的弱易处理性。我们给出匹配的充要条件$(秒,吨)$- 易处理性较弱 $秒>0$ 和 $吨\in (0,1]$在权重序列方面。我们还证明了加权星差有$(秒,吨)$-所有人的易处理性较弱 $秒>0$ 和 $吨>1$.