Bloch space
التعريفات والمعاني
== English ==
=== Etymology ===
Named after the mathematician André Bloch.
=== Noun ===
Bloch space (plural Bloch spaces)
(mathematics) The space, denoted by
B
{\displaystyle {\mathcal {B}}}
or ℬ, of holomorphic functions f defined on the open unit disc D in the complex plane, such that the function
(
1
−
|
z
|
2
)
|
f
′
(
z
)
|
{\displaystyle (1-|z|^{2})|f^{\prime }(z)|}
is bounded.