We just installed an aquasource kitchen faucetandhave lots of cold water but no hot water. Hoses are fine. What could be theproblem?

Hoses are fine. are you saying that you have hot water to the sprayer , but not to the spout? Before you install the faucet, did you flush the supply lines?
If not, then shut the water off and remove the cartridge. Check a clean the inlet ports on the cartridge. Reassemble and test. Let me know of that helps. Good luck, Tom