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.

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