Bloch space

Named after the mathematician André Bloch.

Bloch space (plural Bloch spaces)

1. (mathematics) The space, denoted by ${\displaystyle {\mathcal {B}}}$ or ℬ, of holomorphic functions f defined on the open unit disc D in the complex plane, such that the function ${\displaystyle (1-|z|^{2})|f^{\prime }(z)|}$ is bounded.