Requesting access to sharepoint site page within a public site

Hello Community, 

**PLEASE HELP**

I have created a public SharePoint site. 

My question is;

How do I make a page that I have created have separate permission parameters from the rest of the site? I would like anyone trying to access the page to "Request Permission" to the site owner. 
This way, we can see who has access to the page. 

I really appreciate any help you can provide.