A hater is a person that is jealous of another person's success or achievement so from the definition they are obviously jealous. The best way to deal with a hater is to ignore anything he or she might say their aim is to hurt your feelings to don't satisfy their mission. You should also understand that it is in their blood to hate so there is nothing you can do about it. Just continue doing what you do best.
The best way to deal with haters, is to not deal with them at all. Live your life and just ignore them. They will never stop hating and you have not done anything to make them hate. "Don't worry, be happy!" : D