Is the mall responsible for any injuries that may occur on an escalator? I don't think it was broken but I tripped and fell.

The courts have held that there must be more than proof of a fall or a slip to hold a property owner liable.  A plaintiff may recover only if he or she does not know about the condition and the landowner had knowledge of it.  Property owners who have or should have a reason to foresee that individuals will find it necessary to come across an obvious danger owe a duty of reasonable care to either take reasonable steps to protect such persons from the danger or to warn them of the latter.

A property owner must act as a reasonable person in maintaining the premises in a reasonable safe condition in light of all the circumstances, including the seriousness of the injury and the likelihood that others will be injured. Courts have allowed recovery for a slip and fall on escalator as well as on a staircase caused by changes in floor level or step-downs.  Insufficient demarcation between lowered and raised areas or an inadequate warning of the drop in combination with improper lighting have been found to be grounds for liability.