Spurs suffered their heaviest home defeat of Villas-Boas' rein as Winston Reid, Ricardo Vaz Te and Ravel Morrison all netted in the second half in north London, prompting adulation from the Portuguese.
"West Ham deserve full credit, they played very, very well," said Villas-Boas.
"The first half we played well, but not enough to score. We started the second half very strongly, but unfortunately for us their set-play goal came a little bit against the run of play.
"They totally deserved it, and every time we tried to make changes to come back into the game, they scored again. The three goals came in a quick sequence, which did not allow us to bounce back and react.
"We wanted to throw in all our weapons but as we were ready to put (Roberto) Soldado on, they made it 2-0. It made it even more difficult to come back into the game.
"We never had that chance, but West Ham did extremely well in the second half. They were very aggressive, getting to the ball first and they deserved the result."
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