Weighted diffeomorphism groups of Banach spaces and weighted mapping groups
Weighted diffeomorphism groups of Banach spaces and weighted mapping groups
In this work, we construct and study certain classes of infinite dimensional Lie groups that are modelled on weighted function spaces. In particular, we construct a Lie group of weighted diffeomorphisms on a Banach space. Further, we also construct certain types of weighted mapping groups. Both the weighted diffeomorphism groups …