Let $\text{H}(\mathbb{D})$ denote the space of complex-valued holomorphic functions on the open unit disc $\mathbb{D}=\{z \in \mathbb{C} : |z|<1\}.$ For $\psi, \varphi \in \text{H}(\mathbb{D}),$ with $\varphi(\mathbb{D})\subseteq \mathbb{D},$ the weighted composition operator $C_{\psi,\varphi}$ on $\text{H}(\mathbb{D})$ is defined by
\[C_{\psi,\varphi }f=\psi \cdot f\circ \varphi.\]
For a real parameter $\alpha,$ weighted Dirichlet spaces $\mathcal{D}_{\alpha}=\mathcal{D}_{\alpha}(\mathbb{D})$ are defined by
\[\mathcal{D}_{\alpha}=\left\{f \in \text{H}(\mathbb{D}) : f(z)=\sum_{n=0}^{\infty}a_nz^n, \sum_{n=0}^{\infty}(n+1)^{1-\alpha}|a_n|^2< \infty \right\}.\]
Clearly, these spaces interpolate between several classical functional Hilbert spaces: the Dirichlet space (for $\alpha=0$), the Hardy-Hilbert space (for $\alpha=1$), and the Bergman space (for $\alpha=2$).

In this talk, we investigate how the properties of weighted composition operators on weighted Dirichlet spaces are governed by the function-theoretic features of their inducing symbols, with an emphasis on conditions that are easy to verify. We provide necessary and sufficient conditions for the boundedness and compactness of $C_{\psi,\varphi}$ acting on $\mathcal{D}_\alpha$ for the range $\alpha \in (-1,1)$. Our results reveal a delicate interplay between the operator-theoretic properties of $C_{\psi,\varphi}$ and the function-theoretic behavior of its inducing symbols $\psi$ and $\varphi$, thereby extending classical results on unweighted composition operators. Several examples are provided to illustrate the applicability of the obtained results.