Here "my name" refers to Yahweh himself and his authority. Alternate translation: "for me" or "with my authority" (See: [[rc://en/ta/man/jit/figs-metonymy]])
Here "name" represents the gods themselves or their authority. This means the prophet claims that false gods told him to speak a certain message. (See: [[rc://en/ta/man/jit/figs-metonymy]])