DISEASE CHARACTERISTICS: Histologically confirmed relapsed or refractory hematologic malignancy Acute leukemia Myelodysplasia Non-Hodgkin's lymphoma Hodgkin's disease Multiple myeloma Chronic lymphocytic leukemia Chronic myeloid leukemia Accelerated phase or blast crisis Chronic phase with failed prior donor lymphocyte infusion No active acute or extensive chronic graft versus host disease Prior allogeneic stem cell transplant (SCT) required At least 60 days since prior SCT Nonmyeloablative SCT allowed