Bloch space
In the mathematical field of complex analysis, the Bloch space, named after French mathematician André Bloch and denoted formula_1 or ℬ, is the space of holomorphic functions "f" defined on the open unit disc D in the complex plane, such that the function 

: formula_2 

is bounded. formula_1 is a Banach space, with the norm defined by

: formula_4

This is referred to as the Bloch norm and the elements of the Bloch space are called Bloch functions.
Q395
mathematical
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complex analysis
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André Bloch
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holomorphic function
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open
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unit disc
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Q194397
Banach space
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Q4927106
Bloch space
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Q4927106
Bloch space
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+2^^http://www.w3.org/2001/XMLSchema#decimal
2
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+1^^http://www.w3.org/2001/XMLSchema#decimal
1
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+4^^http://www.w3.org/2001/XMLSchema#decimal
4
NUMBER
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