Is Search Space 0 and Common search space the same thing?

Hi all,

My question speaks for itself. I am confused about Common Search Space and if Search-space 0 (which is linked to CORESET-0) the same thing?

Respective every CORSET, 1- search space will be defined. SEARCH SPACE-0. In a common search space list, you will find the respective search space id.

You can get full details about Search space zero here.