If a continuous multivariate function satisfies a Lipschitz condition on its domain, Box dimension of its graph equals to the number of its arguments. Furthermore, Box dimension of the graph of its Riemann–Liouville fractional integral also equals to the number of its arguments.

中文翻译：

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HÖLDER 连续多变量函数的 RIEMANN-LIOUVILLE 分数阶积分的箱维数

如果连续多元函数在其域上满足 Lipschitz 条件，则其图的 Box 维数等于其参数的数量。此外，其 Riemann-Liouville 分数积分图的 Box 维数也等于其参数的数量。