Embodiments are directed to a tie layer composition comprising functionalized polyethylene, styrene block copolymer, base polyethylene, and antioxidant co-stabilizers, wherein the antioxidant co-stabilizers comprise at least one oxygen scavenger, at least one peroxy free radical scavenger, and at least one alkyl free radical scavenger. Further embodiments are directed to multilayer films or sheets which include the tie layer composition.