I'm having a little trouble understanding what you meant about work, but I'm interpreting it to mean your coworker is annoyed with how you approach your work?
I think it's worth asking them, "Hey, so-and-so, I was thinking about our work together and wanted to get your thoughts. Is there anything you see that I could do differently or need to improve on?"
Phrasing it this way does a couple things things: 1) it makes you not sound paranoid in case you're reading too much into their behavior (I do this a lot), 2) makes you sound like you're genuinely interested in improving at work, and 3) gives them an easy opportunity to give direct feedback, if they have any. Not everyone is comfortable giving critical feedback, so he may say nothing's wrong when there is (but he could also say nothing's wrong because there's truly nothing wrong). If there's an issue and he denies it, that's his loss, and it is now out of your court. You gave him an opportunity to express his concerns, and he didn't take you up on it.
If they say there's no problem, then drop it and don't bring it back up (unless things escalated or something).