Airbending is a fictional element-bending ability from the Avatar universe, created by Michael Dante DiMartino and Bryan Konietzko for the animated series "Avatar: The Last Airbender" and its sequel "The Legend of Korra."
Korean mythology has its own rich history of folklore and mythical creatures, but it does not include the concept of bending elements like air.
The Avatar universe is entirely fictional and draws inspiration from various cultures, including Asian cultures, but it is not based on any specific real-world mythology.