You can 'listen' to these messages yourself with very basic radio equipment tuned to 1090 MHz[3].
Even though these signals can reach long distances (I remember getting ~300 Km with my home made antenna) it's possible that the plane was going through an area where no base stations exist.
[1]: http://en.wikipedia.org/wiki/Aviation_transponder_interrogat...
[2]: http://www.faa.gov/air_traffic/publications/atpubs/aim/aim04...
[3]: http://www.rtl-sdr.com/adsb-aircraft-radar-with-rtl-sdr/
[1]: http://www.flightradar24.com/data/flights/mh370/#2d81a27
http://www.flightradar24.com/2014-03-07/17:20/12x/MAS370/2d8...
[1]: http://www.reddit.com/r/worldnews/comments/1zur6k/malaysia_a...
On second thought, looking at other flights, it seems not so odd.