Bloch space
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 type of 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