There's a ton of gamers on the mobile platform, but streaming it can be a little difficult without some equipment at hand. Sony's making it a lot easier for a few of their handsets and tablets.
They are releasing a product called Live screen streaming (Com'on Sony, you can come up with a better name than that.) for Android, which you can get now at the Google Play store.
The software will let those with a Xperia Z3+, Xperia Z4, Xperia Z4v, or the Xperia™ Z4 Tablet stream to either Twitch or Youtube straight from the device. You can also save your sessions for later viewing as well. You aren't limited to games as you can stream just about anything on the screen of your device.
Live screen streaming may not be available in your territory yet, but check back for when it does go live.