  We introduce the notion of tempered ultradistributions in classical Morrey
spaces by preserving their respective properties. Moreover we investigate some
embedding results within the scale of classical Morrey spaces (local Morrey
space $\mathcal{L}^{p,\beta}(\mathbb{C}^{n},\mu)$ or global Morrey space
$L^{p,\beta}(\mathbb{C}^{n})$ where the underlying functions $\mu$ satisfy the
growth condition by polxnomials. Finally we present some results on the new
classical Morrey spaces described by tempered ultradistributions satisfying
both the vanishing and slow growth conditions in form of embedding theorems.
