People like me follow these things, the business directory has been slow to change for both the Islanders & Sound Tigers website.
That changed on 7/28/16.
As opposed to guessing I will provide what's been added by the teams websites.
Scott Malkin is the primary governor of both the NHL/AHL team, and the sale of the Islanders did include the Sound Tigers. Michael Picker retains his role in Bridgeport.
Dewey Shay is a co-owner of both the New York Islanders & Bridgeport Sound Tigers, who has been credited in some books along with Scott Malkin, & Jon Ledecky.
Jay Itzkowitz is the new General Counsel of the New York Islanders.