We don't know the dollar value of the deals, but... if Long Island University was listed in 2016 as one of the top ten partners, in terms of dollar value, doesn't that signal either that LIU is paying big for the privilege, and/or some of corporate businesses aren't paying all that much? LIU, by the way, has been a staunch supporter of the Atlantic Yards/Pacific Park project as a whole.
As of 2009
Below is an excerpt from December 2009 Official Statement (aka prospectus) for the arena bonds.
Note that Jones Soda, at least, withdrew and was replaced by Coca-Cola. Also note that MetroPCS had a retail outlet briefly on the north side of the arena--until it didn't.
On the eve of the arena's opening, the mix had shifted, as stated in a 9/25/12 press release (names from 2009 bolded):
In addition to Barclays, the naming rights partner, Founding Partners for Barclays Center include American Honda Motor Co., Inc., American Express, Calvin Klein, Cushman & Wakefield, EmblemHealth, Foxwoods Resort Casino, GEICO, MetroPCS, Stolichnaya, and Ticketmaster. Other sponsors include: adidas, Anheuser-Busch, Brooklyn Hospital, The Coca-Cola Company, HighPoint Solutions, LIU Brooklyn, New York Marriott at the Brooklyn Bridge, SONY, and Willis.Note that Anheuser-Busch and HighPoint Solutions had been downgraded to "other sponsors," perhaps because others had paid more, Jones Soda had been replaced by Coca-Cola (also nudged down), and ADT, once sponsor of the ADT Plaza (seemingly the unbuilt Urban Room), departed.
By 2016, according to an excerpt (below) from the Official Statement sent to buyers of the refinanced arena bonds, five of the 2012 top sponsors remain, in terms of annual revenue: American Honda Motor Co., Inc., American Express, Calvin Klein (aka PVH), , EmblemHealth, and GEICO. LIU Brooklyn, listed as one "other sponsor" in 2012, is now a top sponsor.
Today, the Barclays Center web site lists eight Founding Partners: American Express, Calvin Klein, EmblemHealth, GEICO, Honda, JetBlue, Stoli, and Ticketmaster.
Only Jet Blue was not in the graphic above, while Long Island University and Infor, which are in the graphic above, are instead listed among 42 Legacy Partners, shown below. Note, among other things, the presence of media outlets the New York Daily News and WPIX.