demesne vs leasehold

demesne and leasehold both are nouns.

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

As nouns, leasehold is a hyponym of demesne; that is, leasehold is a word with a more specific, narrower meaning than demesne:

demesne: extensive landed property (especially in the country) retained by the owner for his own use
leasehold: land or property held under a lease

demesne (noun)	leasehold (noun)
territory over which rule or control is exercised	land or property held under a lease
extensive landed property (especially in the country) retained by the owner for his own use