This is a large bazaar whose core was in the Ottoman era, with a modern expansion around mid-20th century buildings. 'Qeysari' is the generic term for any covered bazaar, especially in Kurdistan. Nicknamed the Citadel Bazaar, its location in the center of Erbil at the base of the ancient citadel suggests this was a prominent commercial center.
Interestingly, the brickwork is an archaizing treatment that was put as a facade over the many relatively recent buildings. It makes for a visually clashing but interesting cocktail.
Great article on the present situation of the bazaar as the economy sputters and the culture shifts gears on fashion and shopping.