What is District Court?

Legal Definition
the term given to a court of the federal government that has jurisdiction over a set geographical area.
Legal Definition
The name of one of the courts of the United States. It is held by a judge, called the district judge. Several courts under the same name have been established by state authority. Vide Courts of the United States.
-- Bouviers Law Dictionary
Legal Definition
Courts of the United States, each having territorial jurisdiction over a dtstrict, which may include a whole state or only part of it. Each of these courts is presided over by one judge, who must reside within the district. These courts have original jurisdiction over nil admiralty and maritime causes and all proceedings in bankruptcy, and over all penal and criminal matters cognizable under the laws of the United States, exclusive jurisdiction over which is not vested either in the supreme or circuit courts. Also inferior courts of record in California, Connecticut, Iowa, Kansas, Louisiana, Minnesota, Nebraska, Nevada, Ohio, and Texas are also called "district courts." Their jurisdiction is for the most part similar to that of county courts, (q. v.)
-- Black's Law Dictionary
Legal Definition
The United States trial courts held in each federal judicial district; courts of limited jurisdiction within a district.
-- Ballentine's Law Dictionary