Abstract
A left linear weighted composition operator $$W_{f,\varphi }$$ is defined on slice regular quaternionic Fock space $$\mathcal {F}^2(\mathbb {H})$$ . We carry out a comprehensive analysis on its classical properties. Firstly, the boundedness and compactness of weighted composition operator on $$\mathcal {F}^2(\mathbb {H})$$ are investigated systematically, which can be seen new and brief characterizations. And then all normal bounded weighted composition operators are found, particularly, equivalent conditions for self-adjoint weighted operators on $$\mathcal {F}^2(\mathbb {H})$$ are developed. Finally, we describe all types of isometric weighted composition operators on $$\mathcal {F}^2(\mathbb {H})$$ .
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