Let f be a (Lebesgue) measurable function defined on R n . Given a vector...
Let be a (Lebesgue) measurable function defined on . Given a vector in , I would like to know whether the function is measurable or not. I know is measurable whenever is continuous and is measurable, and a book warns me of an example of a measurable function and a continuous function such that is not measurable. However, I have no idea how to prove or disprove measurability of . Can someone please give me a hand? Thank you very much.