Opposite to other answers I would suggest that when the right hand entries (leggiero) the accompaniment should be played less staccato or less marcato.
The composer could have marked simile if he had wanted to continue the style. I think it is quite natural or musically logical to play the intro different than the accompaniment of this light melody.
Edit:
If we compare all available sheets most oft them seem to suppose that marcato (or staccato) has to be continued, what would support the other answers. And when we listen to the performances of youtube it seems that they even play staccatissimo!
But if we consider the whole collection of Burgmüllers exercises we can see that he always added in all pieces the articulation signs thorough out the pieces.
This latter perception and fact supports my interpretation - and also the fact that it doesn't sound good!