RT Journal Article
T1 On generators of C0-semigroups of composition operators
A1 Gallardo-Gutiérrez, Eva A.
A1 Yakubovich, Dmitry V.
AB Avicou, Chalendar and Partington proved in [4] that an (unbounded) operator Af = G.f′ on the classical Hardy space generates a C0 semigroup of composition operators ifand only if it generates a quasicontractive semigroup. Here we prove that if such an operator A generates a C0 semigroup, then it is automatically a semigroup of composition operators, so that the condition of quasicontractivity of the semigroup in the cited result is not necessary. Our result applies to a rather general class of Banach spaces of analytic functions in the unitdisc.1.
PB Springer
SN 0021-2172
YR 2019
FD 2019
LK https://hdl.handle.net/20.500.14352/13162
UL https://hdl.handle.net/20.500.14352/13162
LA spa
NO MTM2016-77710-P
NO MTM2015-66157-C2-1-P
NO ICMAT Severo Ochoa project SEV-2015-0554
DS Docta Complutense
RD 4 abr 2025