Hi Joe,
But he did not seem to have the same issues with his desire for his parents approval (trust fund) that someone like Burroughs had that caused him to write his first novel under the name "William Lee".
I would not be surprised if Bukowski used a pseudonym much later (there have been rumors about Buk & Neeli putting their poems in Man the Humping under different names), but not early, when he would have wanted to see his work under his name in print.
Especially because there would be nothing to gain by keeping his name, except if the was nervous about anti European biases in the mid 40's, which would be the only reason that I could see that he could even gain from using a different name.
Still, it seems that he would have mentioned it in an interview, letter, etc.
If Cirerita has not seen anything like this, it has probably not been written...
Bill
p.s. As far as reprisals from his dad. I remember the story where the Father brought Portfolio to his job to brag about how it was "him" and not his son who wrote the piece. So he certainly would not have been upset by his son getting published.