ALBANY, N.Y. (AP) _ A state judge Friday barred candidates for governor, lieutenant governor and the U.S. Senate backed by political extremist Lyndon LaRouche from the Sept. 9 New York Democratic primary ballot.

The decision will be appealed to federal court, said Webster Tarpley, the candidate for U.S. Senate allied with LaRouche.

The decision by state Supreme Court Justice Edward Conway upholds a ruling of the state Elections Board.

Conway ruled that joint nominating petitions for the LaRouche candidates containing 58,790 signatures were invalid because the 25 petitions failed to list on their cover sheets the number of signatures collected for each candidate.

Tarpley said that the LaRouche candidates will contend in their appeal that the state requirement violates the U.S. Constitution because ''the state cannot deprive the voters of their right to vote for a candidate on the basis of trivial technicalities.''

''This interferes with the intent of the U.S. Constitution to give citizens the right to vote,'' Tarpley said of the state petition requirements.

Besides Tarpley, the LaRouche candidates are Judah Philip Rubinstein for governor and Fernando Oliver for lieutenant governor.