emirate vs demesne

emirate and demesne both are nouns.

Word	Noun	Adjective	Verb	Adverb
emirate	Yes	No	No	No
demesne	Yes	No	No	No

As nouns, demesne is a hypernym of emirate; that is, demesne is a word with a broader meaning than emirate:

Other hypernyms of emirate include domain, land.

emirate (noun)	demesne (noun)
the office of an emir	territory over which rule or control is exercised
the domain controlled by an emir	extensive landed property (especially in the country) retained by the owner for his own use