The battle for market share is on between Verizon Wireless and AT&T. In just one month, Verizon took 12.7 percent of the iPhone market, according to ad tracking firm Chitika.

That shows Verizon probably sold a lot of phones in its first month working with Apple and that AT&T is going to have to offer better services to users to hang on to them.

Chitika can measure the number of AT&T and Verizon devices registering on its network. Just one day after the device launched to Verizon customers on Feb. 10, Verizon iPhones accounted for 3 percent of the U.S. iPhone base.

Apple also debuted the second-generation iPad with Verizon as well as AT&T last Friday. While AT&T and Verizon slug it out, Apple is sitting pretty and could very well be gaining market share on Android.