RT Journal Article T1 Weighted composition operators on the Dirichlet space: boundedness and spectral properties A1 Chalendar, I. A1 Gallardo Gutiérrez, Eva Antonia A1 Partington, J. R. AB Boundedness 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. PB Springer SN 0025-5831 YR 2015 FD 2015-03 LK https://hdl.handle.net/20.500.14352/23008 UL https://hdl.handle.net/20.500.14352/23008 LA eng NO Chalendar, I., Gallardo Gutiérrez, E. A., Partington, J. R. «Weighted Composition Operators on the Dirichlet Space: Boundedness and Spectral Properties». Mathematische Annalen, vol. 363, n.o 3-4, diciembre de 2015, pp. 1265-79. DOI.org (Crossref), https://doi.org/10.1007/s00208-015-1195-y. NO Plan Nacional de I+D DS Docta Complutense RD 7 abr 2025