HONG KONG — After a relative lull in the protests, thousands of pro-democracy activists turned out Sunday for three demonstrations a week after scoring a major victory in elections that were viewed as a broad endorsement of the movement’s goals.

The vote last Sunday saw pro-democracy candidates win 87 percent of the seats in local district council races. The councils have little political power, but the vote — a rare form of popular elections in the semiautonomous city — was portrayed as reflecting widespread discontent with the government and backing for the protesters’ aims.

The demonstrations on Sunday were all granted “letters of no objection,” unlike the many recent protests that had been banned by the police. Activists have denounced such bans as unnecessary restrictions on freedom of assembly. While the first two protests were peaceful, a later one saw several tense confrontations between demonstrators and the police.

The Hong Kong protests began in June over legislation, since scrapped, that would have allowed extraditions to mainland China. The movement soon expanded to include a broad range of demands for police accountability and greater democracy.