CHECK ENGINE LIGHT ON WHEN RAPID ACCELLERATION, CODE SAYS OXYGEN INTAKE PROBLEM on 2003 GMC Yukon XL Denali

WHEN I CHECK WITH ONSTAR DIAGNOSTICS THEY SAY IT IS NO LONGER A PROBLEM BUT HAVE IT CHECKED IF LIGHT STAYS ON. IT IS NOW ON FOR OVER 10 RESTARTS. BEFORE IT WOULD GO OFF AFTER 4 OR 5 RESTARTS. SHOULD I BE CONCERNED?

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what is you code number?
updated-CHECK ENGINE LIGHT CAME ON W/RAPID ACCELERATION. CODE READER READ 2 CODES-P0101 & P0420. NEED PROBABLE CAUSE AND COST TO REPAIR. 2003 GMC YUKON W/6.0 ENGINE. THANKS IN ADVANCE