RequiredFieldValidator can not work with SharePoint InputFormTextBox. You have to client side JavaScript validation instead. There's an out-of-box function RTE_GetRichEditTextOnly come handy to retrieve the value from InputFormTextBox when doing JavaScript validation:
function ValidateInputFormTextbox() {
var inputText = RTE_GetRichEditTextOnly("<%= inputControl.ClientID %>");
if (inputText)
return true;
else
return false;
}