Nokia this morning touted a sharp turnaround in its smartphone share for the last quarter of 2009. It shipped about 20.8 million of the devices in the fall versus just 16.4 million in the summer. With an estimated 52.4 million smartphones shipped in the entire smartphone market compared to 47 million, Nokia estimates that it has jumped back from a recent low of 35 percent share in the summer to 40 percent by the end of last year.