This phase II trial studies the side effects and efficacy of bortezomib with ifosfamide and vinorelbine in children and young adults with Hodgkin's lymphoma that was recurrent or did not respond to previous therapy. Bortezomib is an inhibitor of protein degradation. Bortezomib degrades short-lived regulatory proteins in the cell, and has been reported to increase the tumor cells. Bortezomib may increase the effectiveness of ifosfamide and vinorelbine (two standard drugs given to children with Hodgkin Lymphoma that has come back after initial treatment) by making cancer cells more sensitive to effectiveness of standard chemotherapy by preventing anti-death responses in these drugs. Giving bortezomib together with ifosfamide and vinorelbine tartrate should kill more cancer cells than are killed with ifosfamide and vinorelbine alone.