No water coming out of kitchen faucet!
If you have flexible piping running to the bottom of the faucet:


turn off both the hot &amp; cold the water supplies
disconnect the piping from the faucet
aim the hot water pipe into a bucket and turn the hot water back on (quickly turn it off, of course)
repeat for the cold water side


If you're getting water in the bucket, the faucet's the problem. If it's the faucet, you can start working to disassemble it to see where the problem is or simply replace it.