1A polite phrase used to close an introduction or first greeting (pleased to meet you / how do you do) — a slightly shortened way of saying よろしくお願いします. Usually written in kana.
はじめまして。田中と申します。どうぞよろしく。
Nice to meet you. My name is Tanaka. I look forward to getting to know you.
今日から一緒に働く佐藤です。どうぞよろしく。
I'm Sato, and I'll be working with you starting today. Pleased to meet you.
新しいクラスで「みなさん、どうぞよろしく」と挨拶した。
In my new class I greeted everyone with 'I look forward to being with you all'.
2A phrase used to ask someone to pass your greetings or regards on to a third person — as in 'please give my regards to ...'.
お母さんにどうぞよろしくお伝えください。
Please give my regards to your mother.
ご家族のみなさんにどうぞよろしく。
My best wishes to all your family.
田中さんに会ったら、どうぞよろしくと伝えてね。
If you see Tanaka, give him my regards, okay?