Hardy space H^p

GPTKB entity

Statements (23)
Predicate Object
gptkbp:instanceOf function space
gptkbp:characterizedBy boundary values in L^p
gptkbp:contains holomorphic functions
gptkbp:definedIn gptkb:unit_disk
upper half-plane
gptkbp:generalizes Hardy space H^2
https://www.w3.org/2000/01/rdf-schema#label Hardy space H^p
gptkbp:importantFor complex analysis
harmonic analysis
gptkbp:namedAfter gptkb:G._H._Hardy
gptkbp:normDefinedBy supremum of L^p norms on circles
gptkbp:parameter p
gptkbp:property Banach space for p 5
Hilbert space for p=2
gptkbp:range 0 < p 
gptkbp:relatedTo gptkb:Bergman_space
Lebesgue space L^p
gptkbp:usedIn gptkb:signal_processing
Fourier analysis
control theory
operator theory
gptkbp:bfsParent gptkb:Hardy_space_H^1
gptkbp:bfsLayer 8