A 'pedestrianised street' is one that prohibits motor traffic, for either the whole day, or a large proportion of it.
Cycling should be allowed on these streets, and should only be banned altogether under exceptional circumstances - for instance, genuinely narrow and busy streets. Cycling bans should also only be implemented if there is a high-quality alternative parallel route for people to use.
In particular, banning cycling altogether from pedestrianised streets creates serious problems for disabled people who use cycles as a mobility aid.