Well! I understand this way:   "in My name"   If  I want to  draw money from my bank, I have to issue a cheque signed by me.  If my husband or children sign it, the bank will not release the money.  because the account is in my name.

  Jesus Lord God of heaven and earth came down from heaven and died to save you and me.  Abba Father accepts the sacrifice of His Son.  HE placed Jesus high above all and said that salvation is only through the name of Jesus.  Therefore Jesus emphasises the phrase "in My Name" as no other name can  reward  you in heaven or earth