How do I get refund for purchased app?

Hi,

Purchased a $10 app for my Mac. It doesn't work well and when I go to "Report a problem" in the app store, select "App doesn't work as expected", the Submit button on the page changes to "App Site".

Clicking leads to the app's support page. Now, if I ask there, they say that purchases/refunds are handled by Apple.

So, is there a way to actually get my $10 back?

Thanks