Fatou's theorem

GPTKB entity

Statements (15)
Predicate Object
gptkbp:instanceOf gptkb:mathematical_concept
gptkbp:appliesTo gptkb:unit_disk
bounded holomorphic functions
gptkbp:category theorems in complex analysis
gptkbp:concerns boundary behavior of holomorphic functions
gptkbp:field complex analysis
https://www.w3.org/2000/01/rdf-schema#label Fatou's theorem
gptkbp:namedAfter gptkb:Pierre_Fatou
gptkbp:relatedTo gptkb:Poisson_integral
gptkb:Hardy_spaces
harmonic functions
gptkbp:state bounded holomorphic functions on the unit disk have radial limits almost everywhere on the boundary
gptkbp:yearProposed 1906
gptkbp:bfsParent gptkb:Hardy_spaces
gptkbp:bfsLayer 6