after reading and thinking a lot i think im getting it. Here is what i got:

class ApplicationController extends AkActionController 
 {
var $my_timezone;

    function __construct(){

         $_AkCurrentZone = new AkTimeZone();
         $this->my_timezone =& $_AkCurrentZone->create('MyZone','2000');
   }
}

class ProductController extends ApplicationController{

     function listing(){
    echo $this->my_timezone->now();
     }

}

now that echo doesnt print anything, isnt not supposed to be inherited?