Asset freeze is the term used in United Kingdom, European Union and United Nations instruments for what US practice calls blocking. The two limbs matter equally: you may not deal with what the target already has, and you may not make anything new available to them, directly or indirectly.
The words “owned, held or controlled” and “indirectly” are what give the freeze reach beyond the named party. A company that is not itself listed can be caught because a listed person controls it, and a payment to an unlisted intermediary can breach the second limb if the benefit reaches the listed person at the end of the chain.