Should an application service handles the orchestration of dispatching domain events?

for example, let's say I have a Customer object with a ChangeAddress method
in which returns a CustomAddressChanged event.

Should the application service have the knowledge to go ahead an put the
event on the message bus, maybe send an e-mail to the user, hand it off to
an in-process handler OR should the app service just go ahead and use some
domain service to dispatch the event and whatever handlers are listening
can do what it needs to do?