Elsie, you mentioned you "had some water in the kitchen sink, then nothing"...does this mean you had a water stream when you opened the faucet and now you don't? did you have a good stream or just a dribble? Is it a single faucet or double? If double, do you have the same problem with hot and cold or just with one or the other?
Things to check:
1. Make sure the valve under the sink is turned on.
2. Unscrew the end piece of the faucet neck. Inside there should be a piece of plastic with holes in it. There will also be a screen inside the end piece. Make sure those are clean of debris and build up. That is known as the aerator....Dennis