The typical asking rate per listing is in the $10's per square foot per year. The Palmdale submarket is seeing a a boost in rates. In the last 3 months, the median rate went up $19 per sqft per year.
Compared to the rest of the Metropolitan Los Angeles market, the Palmdale submarket has smaller rates, so you should have no trouble finding a great deal in this discounted submarket.
In the last 90 days, 4 listings have been posted online, which means office spaces most likley are going fast. You'll want to be prepared to tour spaces as quick as possible. About 750% of the listings in the Palmdale are subleases, so you might be able to find a shorter term or below market rent. There aren't many listings below 2,000 square feet available, so finding a space for a small business might be tough.
The standard measurement for office space in this area is around 1,520 sqft. Most properties in this area are around 2 stories. Most buildings in this region were built in 2003 and are Class B.