Palmdale has many of the stores found in the typical middle-class cities across the United States. Most of these stores are found at the intersection of Rancho Vista Blvd. and 10th Street West in and around the Antelope Valley Mall. There is also another heavy retail shopping cooridor growing on 47th Street East at Avenue S. The third main shopping area is located along Palmdale Blvd. between 17th Street East and 30th Street East.
As far as shopping unique to Palmdale, there really isn't any. You may find local area postcards in some of the stores like Wal*Mart or Target, but that's about as far as it goes.