RT Journal Article
T1 Exceptional sets and Hilbert–Schmidt composition operators
A1 Gallardo Gutiérrez, Eva A.
A1 González, María J.
AB It is shown that an analytic map phi of the unit disk into itself inducing a Hilbert-Schmidt composition operator on the Dirichlet space has the property that the set E-phi = {e(i0)is an element ofpartial derivativeD : \phi(e(10))\ = 1 has zero logarithmic capacity. We also show that this is no longer true for compact composition operators on the Dirichlet space. Moreover, such a condition is not even satisfied by Hilbert-Schmidt composition operators on the Hardy space.
PB Elsevier
SN 0022-1236
YR 2003
FD 2003
LK https://hdl.handle.net/20.500.14352/58436
UL https://hdl.handle.net/20.500.14352/58436
LA eng
NO Plan Nacional I+D
NO Junta de Andalucía
NO Universidad de Cádiz
NO DGICYT
NO CIRIT
DS Docta Complutense
RD 3 may 2024