Dear Farzad,
You can create custom log receivers or visual plugins that will be loaded into Log4View. These can use the API to use the base functionalities of Log4View and to cooperate with other components.
You could create a plugin that forwards the shown messages to your web app while forwarding user actions (e.g. creating filters) from the web app to Log4View.
Yet in this case you have to evaluate if the API/plugin mechanism is sufficient and provides all needed functionalities for your specific use case. You can you check out the sample plugins found in your installation directory of Log4View. You can find more information here:
http://www.log4view.com/support/documentation/Philipp Lauchner
PROSA GmbH Development & Support