Just to clarify, I want to direct the link juice to: www.mydomain.com from app.mydomain.com. As these high profile websites will be linking to the app.
My idea was to have them link to a page on the www.mydomain.com/app that I would effectively redirect back to app.mydomain.com.
But if I use a 301, the 301 will direct link juice back toward the sub domain (app.mydomain.com).
So my question is ... will the 302 keep the juice at the www version (not pass the juice)
Hopefully this makes sense. The other option is to simply let them link to the app. and add a canonical tag that points the juice back to the www version.