RT Book, Section T1 Hilbert-Schmidt composition operators on Dirichlet spaces A1 Gallardo Gutiérrez, Eva Antonia A1 González, María J. A2 Kaminska, Anna AB In this note we show that analytic self-maps phi of the unit disk inducing Hilbert-Schmidt composition operators C-phi on the weighted Dirichlet space D-alpha satisfy that the set E-phi = {e(itheta) is an element of partial derivativeD : |phi(e(itheta))| = 1} has zero alpha-capacity. PB AMS SN 978-0-8218-3234-9 YR 2001 FD 2001 LK https://hdl.handle.net/20.500.14352/60676 UL https://hdl.handle.net/20.500.14352/60676 LA eng NO Gallardo Gutiérrez, E. A. & González, M. J., Kamińska, A. (ed.). Trends in Banach Spaces and Operator Theory. American Mathematical Society, 2003. DOI.org (Crossref), https://doi.org/10.1090/conm/321. DS Docta Complutense RD 16 abr 2025