In the mathematical field of complex analysis, the Bloch space, named after French mathematician André Bloch and denoted or ℬ, is the space of holomorphic functions f defined on the open unit disc D in the complex plane, such that the function is bounded. is a Banach space, with the norm defined by This is referred to as the Bloch norm and the elements of the Bloch space are called Bloch functions. Notes Complex analysis