March 10th, 2014, 04:48 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. 

Tags 
lebesgue, points, question 
Thread Tools  
Display Modes  

Similar Threads  
Thread  Thread Starter  Forum  Replies  Last Post 
Lebesgue integral question  Fabion  Real Analysis  0  March 20th, 2014 10:10 AM 
Lebesgue integration question  Fabion  Real Analysis  0  February 24th, 2014 04:39 AM 
a question about Lebesgue measurable function  mathabc  Real Analysis  0  June 23rd, 2011 11:11 PM 
Lebesgue Integral of Random Variable  Question  kipfilet  Advanced Statistics  0  May 2nd, 2011 11:14 AM 
quick question on Lebesgue measure  aptx4869  Real Analysis  5  May 7th, 2008 07:44 AM 