What are the implications of a federal district court's refusal to certify a class action?

Plaintiffs appeal under 28 U.S.C. 1291 from orders of the United States District Courts for Oregon and the Northern District of California refusing to certify their actions as class actions. We hold that, under this court's recent decision in Share v. Air Properties G. Inc., 538 F.2d 279 (9th Cir. 1976), appellate jurisdiction has not been demonstrated. We therefore dismiss the appeals with the understanding that plaintiffs in both cases will be provided the opportunity to establish in the district courts below that the "death knell" has sounded for their actions.