The solution to this problem is a range hood that vents to the outside. Range hoods should be vented to the outside for optimum performance. While having a ducted range hood is preferable and ...
Like other appliances, there are basic models and others with all the bells and whistles. Lowe's is happy to provide this range hood information as a service to you.
So, buy a common sense range hood, one that is capable of exhausting the waste products coming off of your stove and one that isn't going to turn your home into a vacuum.