It has been inferred that, during the Archaean eon, there must have been a high concentration of atmospheric CO2 and/or CH4, causing a greenhouse effect that would have compensated for the lower solar luminosity at the time and allowed liquid water to be stable in the hydrosphere.
Links:
[1] http://admin.indiaenvironmentportal.org.in/feature-article/no-climate-paradox-under-faint-early-sun
[2] http://admin.indiaenvironmentportal.org.in/category/author/minik-t-rosing
[3] http://admin.indiaenvironmentportal.org.in/category/author/dennis-k-bird
[4] http://admin.indiaenvironmentportal.org.in/category/author/norman-h-sleep-et-al
[5] http://admin.indiaenvironmentportal.org.in/category/journal/nature
[6] http://admin.indiaenvironmentportal.org.in/category/thesaurus/oceans-and-seas
[7] http://admin.indiaenvironmentportal.org.in/category/thesaurus/carbon-dioxide
[8] http://admin.indiaenvironmentportal.org.in/category/thesaurus/climate-change
[9] http://admin.indiaenvironmentportal.org.in/category/thesaurus/climate-science
[10] http://admin.indiaenvironmentportal.org.in/category/thesaurus/green-house-gases