it is common sense that if capt wrongfully decides to continue the flight with an inop asi.(at airspeed crosschecking(80kts)hence before v1).the pilot who was taking off remains the pilot handling until aircaft is properly in control and then a change of handling pilot may be necessary,,,ie the Capt takes off..after unreliable airspeed recall items performed...the pilots realize by crosschecking the 2 speedtapes,the stby airspeed and even the irs speed display that the fo speedtape is correct..i would give control the the fo until after landing....