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6 week old is too early to train!  Again, every baby is different.  For myself, I have read a book name "Healthy sleep habits, happy child". You can find it at chapters
I follow this book and now my baby has a pretty good schedule.  Some of my friends read the same book and yes, their babies sleep pretty well.

Basically, for babies younger than 4 months, their awake period should be less than 2 hours.  It means he has to be asleep within 2 hours of wakefulness. For example, he wakes up at 10am, then he needs to be asleep by 12pm.   His theory is a bit different from our parents' theory (don't sleep too much during day time and baby will sleep better at night).  He said that if baby doesn't have good nap, they won't sleep well at night.  Again, every baby is different.  But for my friends' babies and my own baby, his theory works better.  As I found out that if my baby doesn't sleep well during day time, she is going to wake up few times at night!!!  Early bedtime is also recommended. Oh, he also recommends that sleep training should start at 4 month.

Just remember whatever method you use, stick with it; otherwise, both parents and baby will be confused. Hope this book can help you. Good luck!