Getting events from newly created child windows

Getting events from newly created child windows

This is not a strictly jQuery question, though it would be nice to achieve the result in jQuery.
Suppose you create a window with the jQuery (or JavaScript) in your webpage.  You can name the window, and you can get a handle to it.  I want the same events and functions to apply to the child window (or new window) that apply to the outer window.  
So, for instance, if I have a mouseup event in the main window that brings up a window that says "Hello World", I want it to work in the newly created window as well.
I looked up the topic on the web, and got this:
  1. Even the document object (of the HTML DOM) is a property of the window object:

    Global functions are methods of the window object.

    Global variables are properties of the window object.

    All global JavaScript objects, functions, and variables automatically become members of the window object.

But I'm not sure what this means.  So my question is, will the 'mouseUp' event work in the child window even though its not defined in the URL that I opened in that window?  If not, will any other jQuery functions I have in the main window work in the second?