live up to (someone's) reputation as (something)

Translations
соответствовать (чьей-то) репутации как (что-то)
He tried hard to live up to his reputation as an expert in the field.
Он старался соответствовать своей репутации эксперта в этой области.
Definitions
To behave or perform in a way that matches the expectations or standards associated with someone's established reputation for being a particular kind of person or having a certain quality.