When a dog jumps on a human of its own free will, it is not "greeting" the human, it is asserting its dominance over the human; it is the dog communicating that it is alpha and/or wishes to own/control the human. A subordinate would never dream of running over and jumping on the alpha dog of the pack. Space is respect and lower members of the pack respect the higher members. If your dog jumps on humans, it does not respect them. Note: when a young puppy jumps on humans it is sometimes its attempt to reach one's face. Puppies need to be taught not to jump up on humans as this behavior will manifest into other meanings as the puppy grows up into an adult dog.
Also, it's your job to never let anyone else allow your puppy to jump up on them! They will say, "It's OK, she's just a puppy, I don't mind if she jumps on me". You must rush in and pull the puppy down immediately, put your pup in a sit, praise the puppy then scold the person ! Continue to hold the puppy in a sit and let the person greet the pup. Explain to them they can never allow the puppy to jump on them - the puppy must sit to be greeted. To stop the jumping up behavior in pups, I do as much people training as puppy training!
This week’s episode is on how to teach your dog to stop jumping up and instead greet people politely. Jack writes that he and his wife have taught their young dog that he gets attention only when all four paws are on the floor. But the dog jumps up on guests. His exuberant greetings are hard on children and old people. Today I’ll explain how to teach your dog that the best way to get people to say hi is just to sit there and not jump up.