Weighted composition semigroups on Banach spaces of holomorphic functions
Speaker:
Eddy Bernard, Université Gustave Eiffel
Date and Time:
Tuesday, November 2, 2021 - 2:30pm to 2:55pm
Location:
Online
Abstract:
We study, to certain Banach spaces X, families of weighted composition operators. Notably, we show that if this family form a strongly continuous semigroup, then its infinitesimal generator (Gamma;D(Gamma)) is given by Gamma f = gf +Gf' with D(Gamma) = {f in X; gf +Gf' in X} where g;G are holomorphic functions. Moreover, our second maim result is to study the reciprocal implication. That is if (Gamma;D(Gamma)), define like above, generate a strongly continuous semigroup, then this one is a family of weighted composition operators.