The Antarctic ozone hole in the stratospheric layer has two basic parameters: depth and size. In this work the evolution of the ozone hole size (OHS) is analyzed using the monthly mean data for September, October, and November during 1982--2003. On the basis of the analysis of subsets of the data series we found signals of a reversal in the OHS trend during the period 1995--2003 for the months of October and November. On the other hand, the trends of the OHS subsets for the month of September show cyclical changes that approximately follow the variations of the geomagnetic Ap index and the 10.7-cm solar flux index. The detected beginning of the recovery process is a good test for models in order to match observations.