Chalendar, I.Gallardo Gutiérrez, Eva A.Partington, J.R.2023-06-182023-06-182015-030025-583110.1007/s00208-015-1195-yhttps://hdl.handle.net/20.500.14352/23008Boundedness of weighted composition operators TeX acting on the classical Dirichlet space TeX as TeX is studied in terms of the multiplier space associated to the symbol TeX, i.e., TeX. A prominent role is played by the multipliers of the Dirichlet space. As a consequence, the spectrum of TeX in TeX whenever TeX is an automorphism of the unit disc is studied, extending a recent work of Hyvärinen et al. (J. Funct. Anal. 265:1749–1777, 2013) to the context of the Dirichlet space.engjournal articlehttp://link.springer.com/article/10.1007/s00208-015-1195-yhttp://www.springer.com/restricted access51Dirichlet space Weighted composition operatorMatemáticas (Matemáticas)12 Matemáticas