The treadmill already has the function of buffering, so it doesn't need too good function. It just needs to be comfortable and elastic.

No matter where you run, the most suitable running shoes are running shoes with strong flexibility and shock absorption, especially running shoes with breathable interlayer and moderate density.

Running shoes with shock absorption function can provide enough elasticity to protect feet from vibration, but it should be noted that running shoes with good shock absorption effect will be relatively weak in flexibility.

Just run on the indoor treadmill and choose what you like.

Extended data

Running shoes, also known as sports shoes, can be divided into three categories according to the needs of biomechanics: providing shock absorption, providing stability and providing motion control. Running shoes that provide shock absorption, usually with soft sandwich soles, help the feet to be evenly stressed during exercise and help the feet to absorb shock. Shoes are usually light and have poor stability.

Running shoes that provide stability usually have columns on the soles or sandwich structures inside.

Running shoes that provide motion control are usually hard, which can reduce or control excessive varus of feet and prevent ankle injuries. This kind of running shoes usually weigh more than other running shoes.

References:

Baidu encyclopedia-running shoes