[stana]

"... property owner, who will just pass on the tax"

Rental market is more of a market than say, buying a house. It is very much determine by salaries people make in the area. Unlike buying a property, which also has the element of credit availability and willingness of people to borrow, you cannot borrow to pay rent. The point being, owner can TRY to price tax into the rent, but if this prices property too high it will not rent out.

(Edited: typo)

[abecedarius]

All of the landlords must pay the tax. This means a constant displacement of the supply curve from the untaxed state. The demand curve is unchanged. The new equilibrium depends on elasticity, but I'd be surprised if it doesn't end up with most of the cost passed on to the renter.