The working code is:
AIR:
var localConnection:LocalConnection = new LocalConnection();
localConnection.send("_myConnection", "methodName", "Hello world! Source: http://www.foobar.com");
SWF:
var localConnection:LocalConnection = new LocalConnection();
localConnection.allowDomain("app#airtest"); //or use "*" wildcard to allow any domains and AIR applications
localConnection.client = this;
localConnection.connect("_myConnection");
Where airtest
is the app id for AIR application. Use the _
symbol before local connection name for supporting unpredictable domain names (it'll work in debug mode and via http).