Formal:
* Vejo você na próxima semana. (This is the most literal translation and is appropriate for most situations.)
* Até a próxima semana. (This means "until next week" and is a bit more informal than the previous option.)
Informal:
* Te vejo na próxima semana. (This is a more casual way to say it and is commonly used with friends and family.)
* Até semana que vem! (This is a very common and casual way to say it, similar to "see ya next week!")
You can also use a specific day of the week:
* Vejo você na terça-feira que vem. (See you next Tuesday)
* Até sexta-feira que vem. (See you next Friday)
Remember to choose the appropriate phrase based on the situation and your relationship with the person you are speaking to.