The official power to make legal decisions and judgments

The official power to make legal decisions and judgments.

It means someone has the power to do something. Usually it is used as a legal term or a term when someone is referring to their legal abilities. e.g. If a judge in Canada wanted to arrest you for drunk driving, but you were never drunk driving in Canada and the United States doesn't want to arrest you- then interfering with the US legal system is outside of the jurisdiction of the Canadian judge because it is outside of his power to put you in jail.