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Hardy space
Concept within complex analysis
Hardy space
In complex analysis, the Hardy spaces (or Hardy classes) H p {\displaystyle H^{p}} are spaces of holomorphic functions on the unit disk or upper half plane. They were introduced by Frigyes Riesz (Riesz 1923), who named them after G. H. Hardy, because of the paper (Hardy 1915). In real analysis Hardy spaces are spaces of distributions on the real n-space R n {\displaystyle \mathbb {R} ^{n}} , defined (in the sense of distributions) as boundary values of the holomorphic functions. Hardy spaces are related to the Lp spaces. For 1 ≤ p < ∞ {\displaystyle 1\leq p<\infty } these Hardy spaces are subsets of L p...
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