look up

informal

to become better:
I hope things will start to look up in the new year.
Our financial situation is looking up at last.
(Cambridge Advanced Learner's Dictionary & Thesaurus からの look up の定義 © Cambridge University Press)

アメリカ英語辞典
to get better; improve:
I hope things will start to look up in the new year.
(Cambridge Academic Content Dictionary からの look up の定義 © Cambridge University Press)

ビジネス英語
informal
to become better:
In the finance sector things are looking up.
(Cambridge ビジネス英語辞典 からの look up の定義 © Cambridge University Press)

- Cambridge Dictionary