〜てほしい
want (someone) to do
Person に + Verb て-form + ほしい
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て-form + ほしい says you want someone else to do something: 母にもっと休んでほしい, "I want my mother to rest more". The person takes に.
Compare たい, which is only for what you yourself want to do: 休みたい is "I want to rest".
For "I don't want you to", use the ない form: 誰にも言わないでほしい, "I don't want you to tell anyone".
Said to someone's face it can sound demanding, so it's often softened: 早く来てほしいんだけど…, "I'd like you to come early, if that's okay…". With a superior, a request (ていただけませんか) is safer.
Examples
母にもっと休んでほしいです。
I want my mother to rest more.
隣の人に静かにしてほしい。
I wish the people next door would be quiet.
明日は早く来てほしいんだけど。
I'd like you to come early tomorrow, if that's okay.
このことは誰にも言わないでほしい。
I don't want you to tell anyone about this.
子どもたちには元気に育ってほしいです。
I want my children to grow up healthy.