Since Peter says that David said these words about Jesus, the words "my," "Holy One," and "me" refer to Jesus and the words "you" and "your" refer to God.
The Messiah, Jesus, refers to himself with the words "your Holy One." Alternate translation: "neither will you allow me, your Holy One, to see decay" (See: [[rc://en/ta/man/translate/figs-123person]])
Here the word "see" means to experience something. The word "decay" refers to the decomposition of his body after death. Alternate translation: "to decay" (See: [[rc://en/ta/man/translate/figs-explicit]])