If I am correct you have a RadWindow which has a RadAjaxPanel inside it and you want to raise an AJAX request using client-side logic. If this is the scenario you should not experience any problems firing the request. Since I am not familiar with the exact setup I have prepared a sample website which demonstrates a possible realization. Please examine the attached example and tell us if this is what you were looking for.
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The problem was i have to check if the closed window is a RadWindow or not... Sometimes it is a subwindow of another RadWindow and i wanted to report the "opener" RadWindow the result of the child RadWindow (like: saved and change content / refresh)