Norway Stunning fell in love with the place, IMHO early or late in the year is even better with the Snow and getting great light from late sunrise and early sunset, but that's just me.
I suppose it depends on what your specifically asking? Processing or Shooting
. Its a nice enough shot, a touch dark on the LH side. I have a lot of fjord shots similar (with and without snow) and I have come to the conclusion that although fjords are stunning and beautiful often there is a lack of focal point or a specific point of interest, and it just "Needs Something" other than a great reflection.
I think in your shot I would have trotted round the to the right and picked up some of those Rocks in the foreground, for some foreground interest. I think this is the main improvement adding some foreground interest. Also waiting for the right light. The light is generally always better toward sunrise or sunset and is less harsh.
Regarding processing, is this shot in JPG or RAW? If in RAW you shouldn't have too much problem lifting the shadows. However lift them too much and it will look un-natural.
If in Lightroom just carefully try lifting the shadows but not too much, remember the LH side should have some shadow (or you could pull in a graduated filter diagonally across the LH side and see how it looked with the shadow adjustment). If in Photoshop as Paul says above pull two identical copies of the image in and on one image adjust the image until you are happy with the area in shadow, then create a layer mask and brush over the mask to reveal the layer below effectively your blending the 2 images together, with the net result of giving you some selective adjustment to one area of the image (The LH side) without effecting the original RH side.
Remember Photography is subjective and everyone has a different take on a Photograph! This is just my 2d, hope it helps a little