Is it permissible to perform Sunnah prayers between the Adhan and the Iqamah, or should they not be performed if the Adhan for another prayer has been called?

Scholars have differed regarding making up the regular Sunnah (definition) prayers. Some are of the view that it is permissible to make them up, even during the prohibited times (the Shafi'is). Others believe they should be made up, but not during the prohibited times (a view among the Hanbalis). The Malikis do not believe in making up supererogatory prayers except for the regular Sunnah prayer of Fajr. According to the view that holds making up supererogatory prayers to be permissible, the adhan (definition) for the next prayer does not prevent one from making up the regular Sunnah prayer that preceded it.