For petty, small things, no I wouldn't. Your house is just as much as your DHs house. If you don't like to be around this person, don't be, but your DH has just as much right to have friends over as you do. How would you feel if he said to you 'I don't like your friend xyz, she isn't allowed here anymore'? It's pretty controlling IMO.

There are people who have been banned from our house. But both DF and I agree on the reasons, them being the fact that these people are toxic, manipulators, liars, psychopaths, violent and not people that we want our children growing up around, let alone people we want in our lives.
I'm sorry but i will NOT have somebody in MY house that tells me, yes TOLD me that he doesn't respect me. That he loves my DP and my children but can't respect me and if DP is happy with me then he will have to SOMEHOW find a way to respect that The same person who has made me cry, offended me and just been down right rude to me no matter how hard i try to be nice, so many times that i have lost count. The same person who gets annoyed at DP if he cannot hang out because he has family priorities, who told him that us having another child was stupid and we aren't taking into account our childrens futures. If DP can look past these comments and want to remain friends he can, but he can do it outside of my house.