Well my DD is now just on 6 weeks old and her daytime sleep has not improved infact it has decreased to the point of where she doesnt sleep much at all during the day. I cannot fault her at night nor would I want to change her habits. DD is getting between 10-13 hours of a night time. She wakes once for a feed and goes straight to bed. We have her night time routine down pat.
She finally goes to sleep around 730. We wake her for a bath and feed at 930. She is back in bed by 10. She wakes anytime from 2-5 for a feed then back to bed and she then wakes between 6-9. Then that is it until the next night.
We try putting her to bed awake, dozy, asleep etc with no luck. We have tried going in to pat her when she gets upset and leave the room when she is quiet. 5 minutes or less later she is grizzling again. I have bought a sling which she isnt too crazy on. I have had her in my arms a couple of times where she sleeps half an hour or so there.

Day and night time she is chalk and cheese. Night time she goes straight back to bed. Day time she cannot settle. She gets grizzly by the afternoon because she is tired and wont go to sleep.... But if she is healthy and did what she did last night by sleeping 8 hours straight then I can put up with it. But a little sleep during the day which doesnt let her get so grumpy by the arvo would be good....

but we have been very lucky with her night time sleeping that I am not complaining too greatly.