Enrollment into all cohorts will occur simultaneously rather than sequentially. Belinostat will be administered via a 30-minute infusion once daily from Day 1 to Day 5 of one 21-day cycle. Clinical safety will be monitored in each patient. Blood samples for PK analysis will be collected from Day 1 to Day 3, and urine samples for PK analysis will be collected from Day 1 to Day 4.