A universal Lipschitz extension property of Gromov hyperbolic spaces

A metric space U has the universal Lipschitz extension property if for an arbitrary metric space M and every subspace S of M isometric to a subspace of U there exists a continuous linear extension of Banach-valued Lipschitz functions on S to those on all of M. We show that the finite direct sum of Gromov hyperbolic spaces of bounded geometry is universal in the sense of this definition.