Are the Sunnah prayers before and after Dhuhr performed when making them up after Asr prayer?

It is permissible to make up the Sunnah prayer that precedes the Dhuhr prayer along with it for someone who missed the Dhuhr prayer or any other prayer. The evidence for this is what was narrated from the Prophet, peace and blessings be upon him, regarding his making up two rak'ahs after 'Asr, and his making up the Fajr Sunnah prayer before the Fajr obligatory prayer. Also, his action, peace and blessings be upon him, when he missed four rak'ahs before Dhuhr, he prayed them after it. This is the view of the Hanbalis and Shafi'is. However, Abu Hanifa, Malik, and Abu Yusuf hold the view that they should not be made up. It is sunnah to make up the regular Sunnah prayers, except for what was missed along with its obligatory prayer and became numerous; in this case, it is preferable to leave it, except for the Fajr Sunnah prayer, which should be made up absolutely due to its emphasis.