In a nutshell, it means: If you are redeemed of the Lord and believe that you are, you have the same power as Jesus when he walked on Earth, through the Holy Ghost.
God has given you the authority to use Jesus' name to bind or loose ANYTHING with no fear: You have the same power as Jesus to heal the sick when you touch them, bind Satan and his followers, etc., or release any evil hold on a person, in Jesus' Name. It's not effective to just say this if you don't believe it or live for God. As it's done here on Earth, it's done in heaven, because you say it's so.
When the Bible talks about the Lord's Prayer... "thy Kingdom come, thy will be done as it is in Heaven".. There is a parallell to Heaven/Earth if you're the redeemed of the Lord... a sort of mirror, if you will. We don't have to wait to go to Heaven to experience Heaven here on Earth.
HTH