There is a small but important body of research into how social media is used in the art world. The social media behaviour of artists, dealers, collectors, and enthusiasts has been looked at.
Summon is often the best starting point for finding this material. Here is an example search:
Filtering your results with the CONTENT TYPE - Journal Article option will often be useful for this kind of search.
You may also want to run supplementary searches in two other databases:
The following journals may have some relevant articles - though few focussed on art.
Many SIA students have written dissertations about social media in recent years..
Insta'gratification is an Art Newspaper column by Aimee Dawson, looking at social media and the art world.