Read here. Both China and India pump a lot of CO2 emissions into the atmosphere but that's not the principal cause for the Himalaya glaciers/snow melting. The real culprit is soot (black carbon), a huge and deadly air pollutant.
Instead of focusing on the atmospheric levels of the tiny, trace gas CO2, the U.S. should be helping the Asian countries with technology and science to conquer the soot menace.
"Kopacz et al. used a global chemical transport model to identify the location from which the BC arriving at a variety of locations in the Himalayas and the Tibetan Plateau originates, after which they calculated its direct and snow-albedo radiative forcings...they say that observations of black carbon (BC) content in snow "show a rapidly increasing trend,"..."emissions from northern India and central China contribute the majority of BC to the Himalayas," and that "the Tibetan Plateau receives most BC from western and central China, as well as from India, Nepal, the Middle East, Pakistan and other countries."" [Kopacz, M., Mauzerall, D.L., Wang, J., Leibensperger, E.M., Henze, D.K. and Singh, K. 2011: Atmospheric Chemistry and Physics]