UBS psychoanalyst Benjamin Reitzes said in a research note on Tuesday that Apple may trade more than 800,000 iPhones in the quaternary quarter . That would top Apple ’s own appraisal of 730,000 units for the quarter .

Citing continued strong demand for the iPhone at Apple and AT&T retail memory board , Reitzes said his estimates are button-down .

“ Our checks carry on to point solid demand for the iPhone despite typical moderation in excitement from launch and extremely high outlook , ” wrote Reitzes .

Apple report selling 270,000 iPhones during the first weekend it was available , which was also the last two 24-hour interval of the third quarter . Apple CEO Steve Jobs forecast during the third quarter earnings conference call that the company would deal its one - millionth iPhone by the end of the fourth quarter .

Apple ’s goal is to sell 10 million iPhones by the last of 2008 .

iPhone sales will get a boost from deals Apple has reportedly made with mobile phone operators in three of Europe ’s largest markets . Germany ’s T - Mobile Deutschland , France ’s Orange SA and Britain ’s O2 ( UK ) are report to have signed exclusive deals to trade the iPhone in their several grocery .

Reitzes overconfident mindset for Apple does n’t stop with the iPhone . He is also expecting good thing from the caller ’s computer line in the future .

“ In addition , we believe the Mac report is exciting as demand is strong for notebooks and lately introduced iMacs , ” he said .

ebullience for Apple ’s notebooks seems to be well institute as grocery research house NPD yesterday put Apple ’s U.S. retail notebook market share for June 2007 at 17.6 percent . That is an increase of 2.2 percentage point over the same point last year when Apple posted a 15.4 percent market share .

According to data point from enquiry house IDC , Apple ’s continued rise in computer gross sales place it in third lieu overall among all computer Divine in the U.S. This is the first time since 1996 that Apple finds itself this high on the list of top selling manufacturers .

Investors reacted positively to the news show boost Apple ’s blood to $ 130.95 , up $ 3.38 or 2.65 percent .