A distribution is of order $0$ if it is continuous for test function space with the maximal norm. Is that true that a distribution of order $0$ is the same thing as a measure?
This question is from Demailly's book 'Complex Analytic and Differential Geometry'. On page 16 proposition (2.9), he says current of order $0$ can be regarded as forms with measure coefficient.(see the first sentence after the proof)
