The typical asking rate per listing is in the $10's per square foot per year. The Hawthorne region is going through a decline in rates. In the last 3 months, the median rate decreased $4 per sqft per year. That's a 18% decline in rent.
Compared to the rest of the Metropolitan Los Angeles market, the Hawthorne submarket has smaller rates, so you should have no trouble finding a great deal in this undervalued submarket.
In the last 90 days, 7 listings have been listed, which means leases most likley are going fast. You'll want to be prepared to tour spaces as quick as possible. 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 1,150 sqft. Most buildings in this area are close to 2 stories. Most buildings in this area were built in 1980 and are Class B.