What is the test for granting a writ of habeas corpus within the jurisdiction of a judge?

Pursuant to 28 U.S.C. 2241(a), courts may grant a petition for writ of habeas corpus "within their respective jurisdictions." A writ of habeas corpus operates upon the prisoner's custodian, not the prisoner. Braden v. 30th Jud. Cir. Ct. of Ky., 410 U.S. 494-95 (1973). Thus, the court issuing the writ must have personal jurisdiction over the custodian. Id. at 495 ("Read literally, the language of 2241(a) requires nothing more than that the court issuing the writ have jurisdiction over the custodian. So long as the custodian can be reached by service of process, the court can

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