# Is there a name for this type of CES look-alike utility function?

I do not know whether the following utility functions are used a lot but I was wondering whether there was a common name for this type CES like utility function

$$u(z) = \left[ \left( \sum_{j \in J_1} z_{j}^{\alpha_1}\right)^{\rho/\alpha_1} + \left(\sum_{j \in J_2} z_{j}^{\alpha_2}\right)^{\rho/\alpha_2} \right]^{1/\rho},$$

perhaps it is simply an instance of the CES?

The utility function is defined over two non-overlapping groups $$J_1$$ and $$J_2$$ of goods $$z_j$$. The goods from the two groups are weighted diffrently in the inner CES part by $$\alpha_1$$ and $$\alpha_2$$ respectively.