Scenario:  

I have a campaign that I send periodically to various lists.  I would like to view the ‘Open’ statistics for specific given dates for this campaign. How do I accomplish this?

Unfortunately, at this time, we do not offer the ability to export opens by a specific campaign send date. However, we do have the ability to export the statistics for Opens for a given campaign, but the statistics will be for all sends of the given campaign. See the article How do I download contacts who have opened a specific campaign? for instructions.