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Bloch space
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Bloch space : ウィキペディア英語版
Bloch space
In the mathematical field of complex analysis, the Bloch space, named after André Bloch and denoted \mathcal or ℬ, is the space of holomorphic functions ''f'' defined on the open unit disc D in the complex plane, such that the function
: (1-|z|^2)|f^\prime(z)|
is bounded. \mathcal is a Banach space, with the norm defined by
: \|f\|_\mathcal = |f(0)| + \sup_{z \in \mathbf{D}} (1-|z|^2) |f'(z)|.
This is referred to as the Bloch norm and the elements of the Bloch space are called Bloch functions.
==Notes==



抄文引用元・出典: フリー百科事典『 ウィキペディア(Wikipedia)
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