using single mobile website in a web view for mobile apps

if you want to make a service for people to use where the functions can all be made available via a web interface (website) And then you wanted to make apps android/ios/windows phone/blackberry

is it easier/possible to make a mobile website which is then wrapped into ALL mobile platforms as apps?
So the apps will simply show a web view with the mobile site?

do the various App stores (like play) allow this?

If the app is only a webview, GP won’t be OK with it. You need to have content in the app.

iOS specifically does not allow this. Per current Apple review guidelines:

“2.12 Apps that are not very useful, unique, are simply web sites bundled as Apps, or do not provide any lasting entertainment value may be rejected”

You can pretty safely count on it being rejected if it’s just a website in a native wrapper. If you can provide some type of native functionality, even if it’s not extensive, you can likely get around this.