Joel Steinberg, a self-described “doting” parent still seeking a measure of vindication for his role in the 1987 death of 6-year-old Lisa Steinberg, will ask the New York Court of Appeals this week to throw out much of a $15 million judgment against him awarded to the estate of the abused girl.

Steinberg, 66, is challenging the 2004 decision by Manhattan Supreme Court Justice Louis B. York to award Lisa Steinberg’s estate $5 million for the pain and suffering the girl endured on the night of her death, $5 million for her pain and suffering as a battered child and $5 million in punitive damages.