An adjective meaning having a more specific domain or subject?

Solution 1:

One fairly common way to say this is more narrowly scoped (an adjectival phrase).

scope 1 noun ...

  1. The extent of a given activity or subject that is involved, treated, or relevant: the scope of the debate ... Synonyms ... range [AHD]

(the senses of the verb and participial adjective follow).

narrow: adjective ...

  1. Limited in area or scope [AHD]

(again, the sense of the adjective-modifier [traditionally 'adverb'] follows).

The phrase has become a reasonably strong collocation; examples from the internet are:

Narrowly scoped subset-analyses were performed additionally for living-donor transplants, pediatric transplants, as well as cases with prolonged cold ischemic time (CIT).

[Comparable outcome of liver transplantation ...; Alexander Kaltenborn et al]

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Outsourcing contracts are trending toward smaller deals. Outsourcing firms should also consider establishing more narrowly scoped relationships [Supply Chain Focused Manufacturing Planning and Control By W. C. Benton]

...............

More precisely targeted and more precisely directed are also idiomatic.