GigaOm repoted that:

Apple Passes RIM in Global Smartphone Share

This was for the third quarter of 2010 when RIM shipped 12.3 million BlackBerry units while Apple shipped 15.4 million iPhone units. Apple released the iPhone 4 in this quarter which helped it leapfrog RIM for the first time. Nokia, meanwhile, shipped an enormouns 26.5 million units of their various smartphones during the same period.

I suspect we will see RIM and Apple seesaw between second and third place for the next three reported quarters. If Apple is able to generated excitement for the iPhone 5 in 2011 and RIM continues to introduce new BlackBerry models that fail to capture popular attention, we can expect Apple to permanently overtake RIM by the end of 2011. But, those are big “ifs.”

The real battleground in 2011 will be in the tablet space, however.