I have used this in the past, right now its subtracting the year, but you could modify it for week...maybe something like below. Haven't confirmed the week one, but seems like it could work...
//for everything in the last year
Year(NewsletterDate) = Year(DateAdd(yy, -1, GetDate()))
//for everything in the last week
DATEPART( wk,NewsletterDate) = DATEPART( wk,DateAdd(wk, -1, GetDate()))