After this week's murder of an east Jerusalem Palestinian, calls to inflict violent revenge on Arabs over the killings of three Israeli teenagers have gathered momentum on social media websites.

Such incitement, including by serving soldiers, has featured photos on Facebook and Twitter and prompted Israel's authorities to urge restraint and threaten the culprits with disciplinary action.

Israel warned Hamas Thursday against any escalation in violence, reinforcing its Gaza border amid continued rocket fire and heightened tensions after three Israeli youths and a Palestinian teenager were murdered.

"We are looking for calm, not escalation, but if Hamas chooses to act against us, we shall be ready," armed forces chief Lieutenant General Benny Gantz said in remarks tweeted by the army.

The United States on Wednesday condemned the killing of a Palestinian youth in apparent revenge for the murders of three Israeli teenagers, warning acts of vengeance would worsen an explosive situation.

"There are no words to convey adequately our condolences to the Palestinian people," Secretary of State John Kerry said in a statement.

Israeli troops on Wednesday demolished the home of a Palestinian man charged with the murder of a high-ranking Israeli police officer earlier this year, the army and Palestinian witnesses said.

Witnesses in Idhna village, 10 kilometers (six miles) west of Hebron, told AFP troops arrived during the night and blew up the home of Ziad Awad, 42.

A Palestinian teenager was kidnapped and killed Wednesday in an apparent act of revenge for the murder by militants of three Israeli youths, triggering violent clashes in east Jerusalem.

Palestinian leaders denounced the killing, holding Israel responsible and demanding the government of Prime Minister Benjamin Netanyahu act to prevent revenge attacks.

The White House Tuesday called on Israel and the Palestinian Authority to preserve security cooperation, as Prime Minister Benjamin Netanyahu mulls action against Hamas after the murder of three Israeli teenagers.

The Obama administration also backed Israel's claims that the Islamist group was to blame for the killings, and reiterated a call for restraint on both sides.

Israel on Tuesday paid an emotional farewell to three teenagers killed in the West Bank, while vowing to hunt down the Hamas militants it holds responsible for their kidnap and murder.

The disappearance of Gilad Shaer and Naftali Frenkel, both 16, and 19-year-old Eyal Ifrach, from a roadside in the southern West Bank on June 12 and the hunt for their kidnappers has gripped the Israeli public, triggering an outpouring of public grief and anger.

Israel vowed Tuesday to hunt down the Hamas militants it holds responsible for killing three teenagers, but was likely to carefully weigh its response to avoid triggering a regional flareup.

As further details emerged of the fate of the three abducted youngsters whose bodies were found in the southern West Bank on Monday, Israel said it would not rest until it finds their killers.

Israeli troops shot dead a young Palestinian early Tuesday during a raid into the Jenin refugee camp in the northern West Bank, Palestinian security and medical officials said.

They named the dead youth as Yusuf Abu Zagher, 18, and said the incident appeared unrelated to Israeli operations in the southern part of the territory following the abduction and killing of three Israeli teenagers there.

French President Francois Hollande on Monday condemned what he described as the "cowardly murder" of three Israeli teenagers whose bodies were found in the West Bank three weeks after they went missing.

Hollande "strongly condemns the cowardly murder of Eyal Ifrach, Naftali Frankel and Gilad Shaer and offers his sincere condolences to their families as well as to the Israeli authorities," the presidency said in a statement.