OK you are barely out of recovery and when the swelling from the op goes down you will get hungry! It's prefectly normal!!!
You may only still be on soft foods or just starting solids...nothing in the band means food (especially soft food) passes through the band with little resistance at all....all pretty normal!
Well done for starting exercise...as for the eating thing..you are worrying too early, trust me
As I keep saying hun, get on a diet plan that allows a decent amount of food and some treats now and then...even with good restriction we have to try to do our bit...there isn't a magic point where the band suddenly takes over and we can go on cruise control.
If you are on solids now, the first thing I suggest is that you check on Mazza's food thread (below my signature) to check the food you are choosing is the right sort of stuff that helps the band work better..... too many soft foods (meals with lots of sauces, cottage pie etc) will just go right down at the moment with no fill in there
If you find a plan that you enjoy whether it's calorie counting, weight watchers, slimming world or Atkins (or whatever suits) you will find you can feel satisfied on the smaller portions of the healthy stuff already.
It will be easier to stick to and as you get more fills you will find that getting satisfied on smaller portions and not getting hungry in between meals happens better as well.
You can explain your fears to your provider and they may give you a more generous fill to start you off well...also note that if it's too much in you will end up getting by on sliders as proper dense food will get stuck...you don't want to be living on ice cream (trust me on that one)
Eat the band friendly healthy stuff and it will help...thats to everyone even without good restriction!
A band has stopped me stuffing myself with huge meals and has meant that when I choose the right foods , I don't get hungry (not hardly hungry at all on the Atkins)
However if you are resting all your hopes on the fill automatically stopping you from eating slider foods and picking at stuff all day you will run into trouble.
Just trying to tell you early because I found all this out by doing everything wrong