Using a date range search
The following table outlines the properties that can be used to define a KQL query using a date range restriction:

You can use relative dates when performing a date range restricted search. For example, today, tomorrow, or yesterday can be used with the Received or Sent keywords.
You can use a specific day of the week: (Sunday, Monday, Tuesday, Wednesday, Thursday, Friday, or Saturday) with the Received or Sent keywords.
You can also use a specific month: (January, February, March, April, May, June, July, August, September, October, November, or December) with the Received or Sent keywords.
Examples
If you want to delete all messages in the administrator mailbox that were received today, use the following command:
Search-Mailbox administrator '-SearchQuery "Received:today" '-DeleteContent -Force
If you want to delete all messages in the administrator mailbox that have been received between March and July, use the following command:
Search-Mailbox administrator '-SearchQuery...