Possibly design a quantitative quasi-experiment:set a control group—ungentrified projects and a treatment group—gentrified projects, then use the Difference-in-Difference Model to examine the impact of gentrification on housing price. But I don't know whether someone has done this~~
There has been a lot of material since Ruth Glass coined the term in 1964 . https://bartlett100.com/article/ruth-glass-and-coining-gentrification. In Britain the discussion has always been class-based (eg paton 2016) and originally surrounding slum clearance for public high-rise housing. Palen and London covered a lot of the early material.
In Australia my late colleague Chris Maher wrote extensively.Article Building Activity and Soeio-Economic Change in Inner Melbour...
In the US, Brian JL Berry was very influential in the late '70s. There's plenty of US material on neighbourhood revitalization (see Google Books) - and there are recent books on the topic (Lees et al, Moscowitz).
I see the actual question related to the effect of gentrification on housing prices. Most of the discussion has been qualitative or anecdotal - specifically relating to pricing of original residents out of the market. There is a strong relationship between average tract income and local rents, an even greater one for house prices, - and this could possibly be used for estimation as local household incomes rise. There's also definitely a 'reverse tipping' phenomenon - once the proportion of improved houses in a street or neighbourhood hits a threshold, demand and prices start racing away. I don't think anyone has tried to identify that threshold - but clearly there's a lot of interesting work that could be done.
Dear June, Chris Hamnett (https://www.kcl.ac.uk/people/professor-chris-hamnett) has done extensive work on that subject, as well as examining in depth the case of London. Best, João Pedro