In complex analysis, the Hardy spaces (or Hardy classes) Hp are certain spaces of holomorphic functions on the unit disk or upper half plane. Hardy spaces on the unit circle · Real Hardy spaces for R |
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1 Hardy Space. Denote by H(D) the space of all analytic functions F : D → C. We define the Hardy classes by. Hp(D) = {F ∈ H(D) : kFkHp(D). < ∞} where. kFkHp ... |
There are two ways to define a Hardy space Hp for the upper half-plane: (a). HP(Π+) is the space of functions F holomorphic on Π+ with F ∘ τ ∈ HP(U). |
26 сент. 2020 г. · The Hardy space theory functions as a model for those studying holomorphic function spaces, and often the first questions asked when studying a ... |
The Hardy space H^p(D) is the class of functions holomorphic on the disk D and satisfying the growth condition. |
15 мая 2017 г. · So H2(D) is isometrically isomorphic to ℓ2(Z). If you know that ℓ2(Z) is a Hilbert space, then you know that H2(D) is a Hilbert space. |
26 сент. 2020 г. · We give an overview of parts of the theory of Hardy spaces from the viewpoint of signals and systems theory. |
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