www.alphadictionary.com

Here is a sadly too short piece titled "When Nouns Verb Oddly." Sadly, the author no longer writes this section, I generally found her work a pleasure.

"Own" is becoming very frequent in the sense of demonstrating superiority over someone or something. Possibly the usage arises from the sense that if you own something, you can do what you want with it.

His football team owned the conference that year.
Building tremendous influence and approval, the mayor owned that town.

This has been around for quite a while, but it isn't used as a noun. I don't believe you can have "an own" over something or someone.

On the other hand, Rex Stout's famous detective abhored the idea of using "contact" as a verb. Now a lost cause, and probably because there are so many ways to contact a person that the word is handy if you want to get in touch with them by whatever means. You can go see them, phone them, email them, text them, message them on FB, and if all else fails, send snail mail!

Slava, although I agree with you that "own" is not commonly used as a noun, remember what Virgina Wolf said, "A room of one's own."