creating a Java Proxy Server that accepts HTTPS

i already have a working HTTP proxy server that can handle multiple HTTP request. now my problem is how do I handle https request?

here's a simplified code i am using:

class Daemon

{

    public static void main(String[] args)

    {

        ServerSocket cDaemonSocket = new ServerSocket(3128);



        while(true)

        {

          try

          {

             Socket ClientSocket = cDaemonSocket.accept();

             (new ClientHandler(ClientSocket )).start();

          }catch(Exception e) { }

        }

    }



}

and the ClientHandler

class ClientHandler extends Thread

{

        private Socket socket = null;

        private Socket remoteSocket = null;

        private HTTPReqHeader request = null;

        ClientHandler(Socket socket)

        {

           this.socket = socket;

           request = new HTTPReqHeader();

           request.parse(socket); // I read and parse the HTTP request here

        }



       public void run()

       {

            if(!request.isSecure() )

            {

              remoteSocket = new Socket(request.url,request.port);

            }

            else

            {

              // now what should I do to established a secured socket?

            }



            // start connecting remoteSocket and clientSocket 

            ...........

       }

}

}

I really did try searching how, I have encounter SSL tunneling, certificate,handshaking, SSLSocket, SSLFactory, trustStore and etc. something like that but still could not make it work.. I just need to know what are the things I need and the steps to established a connection to a SSL-enabled web server.