Further point of clarification, the SpaceX booster has more thrust than it weighs because it is capable of delivering payloads to orbit, which the Blue Origin booster cannot do.
All rockets have more thrust than their weight, otherwise they would not get off the ground.
Hover ability comes from having a rocket engine that can throttle down enough to match the weight of the almost-empty rocket. Blue Origin's BE-3 can throttle down to 20% of its design thrust, possibly lower.[1] SpaceX's Merlin 1D can throttle down to 70%.[2] Apparently, even with only one of the nine engines firing, it's enough to lift the almost-empty Falcon 9 first stage.
Hover ability comes from having a rocket engine that can throttle down enough to match the weight of the almost-empty rocket. Blue Origin's BE-3 can throttle down to 20% of its design thrust, possibly lower.[1] SpaceX's Merlin 1D can throttle down to 70%.[2] Apparently, even with only one of the nine engines firing, it's enough to lift the almost-empty Falcon 9 first stage.
1. https://en.wikipedia.org/wiki/BE-3
2. https://en.wikipedia.org/wiki/Merlin_(rocket_engine_family)#...