I need to get all users by refining hire date managed property in this week using SharePoint search APi.
I'm tried lots of ways but not succeeded. Please help me on this.
What will come in refinement filter query for checking with month or week?
There are several KQL keywords you can use to play with date intervals. In your case you can use the following:
HireDate:this weekto check for current week.
HireDate:this monthto check for current month
See this post for all KQL syntax.