Urgent problem: no reciving.

Urgent problem: no reciving.

Dear sir:
      I'm a business man, so email is very important to me, but this week my customer said they can't send me any email, but I have tested my domain server's configuration is correct and I can recived gmail and other big company email. So I don't know such as @viapost.fr or @outlook ,these customers can't send me. The big problem is somebody can send me but others can't. could you please help me.