Compact Embeddings of Vector-Valued Morrey Spaces

We develop compactness and defect-of-compactness results for Banach-valued evolution classes with Morrey control in time. For \[ \begin{aligned} \mathbb W_M^{p,λ}(0,T;E_0,E_1) =\{u\in\mathcal M^{p,λ}(0,T;E_0):\;& u'\in\mathcal M^{p,λ}(0,T;E_1)\},\\[-1mm] &0<λ<1. \end{aligned} \] the exact trace ex