I think a lot of people think of the domain as the database, but I've always thought of the database as how you store your domain model, not the domain model itself.
The object store is concerned with state. Domain objects have state and behavior.
Note that many systems written in object-oriented languages don't have domain models by this definition. Compare with, say, Table Model from the same book.
I'll take a shot and somebody can correct me. The domain is related
to your data, your database, how you modeled the problem into pieces
of data. So the object domain would be the objects related to
holding or delivering data from you persistence/database.
In the MVC, model/view/controller, pattern the model is the
data/database. The view presents it to an input device i.e. screen
or web page. The controllers work between the two.
The object domain would be the model objects. A SQL database, say.