Abstract
The subject of this manuscript is the investigation of (possibly unbounded) weighted composition operators arising from the formal expression $$E(\psi ,\varphi )f=\psi \cdot f\circ \varphi $$ over Mittag-Leffler spaces of entire functions. In this context, the functions $$\psi $$ and $$\varphi $$ are entire functions, and this manuscript presents basic operator theoretic properties such as closability, invertibility, cyclicity, complex symmetry, boundedness, compactness, and the essential norm. Significantly, a characterization of $$\psi $$ and $$\varphi $$ are obtained for bounded weighted composition operators over the Mittag-Leffler space of entire functions for parameter $$0< \alpha < 2$$ , and many extant results in the Fock space are reproduced in the more general context of Mittag-Leffler spaces.
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