how to query pool list by member with java.

There is no direct API method to "work your way up the chain", but you can get to it with a little bit of code. I wrote a few samples a while back that cover the pool from member. Check out the CodeShare sample "Ps Pool Lookup".

https://devcentral.f5.com/wiki/iControl.PsPoolLookup.ashx

It's written in PowerShell but the logic would be the same with the Java libraries (same methods, just different language constructs).

If you get stuck with things like this, make sure you check out the iControl CodeShare.

Hope this helps...

-Joe