March 10th, 2014, 03:48 AM  #1 
Member Joined: Aug 2012 Posts: 32 Thanks: 0  Lebesgue Points Question
Let be a bounded open set and take . Let be a Caratheodory function satisfying for almost every , for every and for some . If we further assume that is a Lebesgue point of and let , () be such that . Then how does it follow that since is a Lebesgue point of we have: , where is Hypercube of ? Let me know if any further info is required. Thanks. 

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