We study the boundedness of the composition operator in the spaces L^p(V, W^{1, r}(Y_v)). Such spaces arise when modeling the transport processes in a porous medium. It is assumed that the operator is induced by a mapping preserving the priority of the variables, which agrees with the physical requirements for the model.

中文翻译：

---

具有分布微结构的L p空间中的变量变化

我们研究了空间L ^p（V，W ^1，r（Y _v））中合成算子的有界性。在对多孔介质中的传输过程进行建模时会出现此类空间。假定操作员是由保留变量优先级的映射引起的，该映射符合模型的物理要求。