Bournemouth came out strongly after the break, Jordan Ibe squandering a gilt-edged opportunity before Adrian pulled off a magnificent stop to deny Josh King, with Tore hammerend a strike into the side-netting at the other end.
Howe's side were reduced to 10 men late on when Harry Arter picked up a second yellow card, and Slaven Bilic’s men duly ensured their numerical advantage was not was winner antonio knocked in the winner.
Despite a vibrant atmosphere prior to kick-off, the hosts got off to a flat start, and were unable to assert any authority on proceedings during the opening stages.
With Dimitri Payet and Andy Carroll – who Bilic confirmed is set to miss several weeks with a knee injury – having joined West Ham's growing injury list, Bilic's side lacked guile in the final third, though Tore did go close with a curling effort that sailed just over.