Hi Peter, I recently moved to US (from India) on L1B. While I was in India, I had an app on App Store and making small money. I developed this app in my personal time and this is not related to my job. Can I continue improving the app (in my personal time) while I am in US on L1B?

This remote employment stuff is tough because immigration law and policy haven't caught up with it. The short answer is that it might be okay but this is the kind of question that you should explore in detail with an attorney because of the implications of working without authorization.