Weighted composition operators on the Dirichlet space: boundedness and spectral properties

I. Chalendar, E. A. Gallardo-Gutiérrez, J. R. Partington

Boundedness of weighted composition operators $W_{u,\phi }$ acting on the classical Dirichlet space $\mathcal{D}$ as $W_{u,\phi }f=u(f\circ \phi )$ is studied in terms of the multiplier sp…