i believe a part number of you there want their application allow the user to enter google account credential information to access the page, right? It's like i were faced off in my project. So how we will do it ?

If you use webservice, here's the information you should send to air application :
Google Account Credential Information and CallBack Url (the next url you want go after login)

I believe to access protected google page it will asked thridparty login, right? Note: OAuth, AuthSub and ClientLogin will not allow you to remote interface specially page after login google. In this case i create a component which is called GoogleBrowser.mxml and here the codes:

 <?xml version="1.0" encoding="utf-8"?>
  

     <mx:Window xmlns:mx="http://www.adobe.com/2006/mxml" layout="absolute" 
                   width="600" height="600" backgroundColor="#242424"
                   creationComplete="init()"  >

     <mx:Script>
      <![CDATA[
         private var googleUserName:String = "yacobus.r@kiranatama.com";
         private var googlePassword:String = "i_love_u";
         private var nextUrl:String = "http://docs.google.com/a/kiranatama.com/Doc?docid=0AWbobJ8BSfPlZGcyaGtiYmJfMjlkajlwc3hncw&hl=en";  

         private function init():void{
           browserStack.selectedIndex = 1;
           gdocHtml.addEventListener(Event.COMPLETE, onCompleteHandler);
           gdocHtml.location = nextUrl;
         }

   
         private function onCompleteHandler(event:Event):void{
           gdocHtml.removeEventListener(Event.COMPLETE, removeListenerHandler);
           var additionalScript:String = '<script type="text/javascript">\n'+
                                   "gaia_setFocus();\n" + 
                                   "document.gaia_loginform.submit();\n"+
                                   "</script>";
           var username:String = googleUserName.split("@")[0];
           var body:String = String(event.target.htmlLoader.window.document.body.innerHTML);
           body = body.replace('id="Passwd"','id="Passwd" value="'+googlePassword+'" ');
           body = body.replace('value="" class','value="'+username+'" class"');
           body = body + addScript;
           gdocHtml.htmlLoader.window.document.body.innerHTML = body;
           browserStack.selectedIndex = 0;
          }

           private function removeListenerHandler(event:Event):void{
              event.stopPropagation();
           }

        ]]>
      </mx:Script>

      <mx:ViewStack id="browserStack" width="100%" height="100%">
        <mx:Canvas width="100%" height="100%">
          <mx:HTML width="100%" height="100%" id="gdocHtml" />    
        </mx:Canvas>
        <mx:Text id="loadingText" text="Loading ..." />
      </mx:ViewStack>  
</mx:Window>