Yes we do own the air. Why don't you go read some of Walter Block's work on the environment. He has libertarian solutions to environmental issues. Basically, he agrees that polluters must pay a certain amount to compensate for their pollution.
You don't have the right to dirty my air with your disgusting cigar smoke. Like I wrote earlier, there are many cigar smokers who have no concern whatsoever for the fact that they stink up the air.
As for the farting thing, no you don't have a right to go up to someone and fart in their face. Cigar smoke is much stronger and travels much more than a fart. I can't believe I have to dignify your stupid analogy. If someone has to fart so much that they are making others miserable, yeah, they might want to go to the bathroom.