The blank space you're having an issue with is so people using their phones with their left hand don't have to reach over uncomfortably to hit something where their thumb can't reach easily. Sure, some information there would be nice, but not sure what could be there.
Welcome to suggestions though.
I'm a big fan of those empty spaces. It makes the UI look clean and uncluttered, and focusses the eye on what is important. The power of white space is well understood in the paper publishing industry.