As I see it, bullying in EVE is where the game mechanics stop and social harassment starts. Shooting someone’s ship is acceptable in any part of the game. In fact, it’s encouraged, explosions are good!
PvP is a part of the game. If someone kills you over and over, that’s fine. If someone bumps you to stop you from warping away for a long period of time, that’s fine. If someone stays up day and night to hunt your ship whenever you log in and won’t let you mine/rat/whatever, that’s all part of the game.
Bullying through chat is a different story. If people harass you there, ignore the person, report them or screenshot it and post it on reddit or something.
Just remember that no actions of PvP in a PvP game should be considered bullying. That would be similar to playing a first person shooter or moba and being surprised when someone kills you. PvP is what you sign up for when you undock in EVE.