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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…

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Definition

Link between real- and complex-variable Hardy spaces

Beurling factorization

Martingale Hp

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Hardy space

Nodes60
Edges59
Triples138
Avg. degree1.97
Density0.033333
Components1

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Hardy space

Top relations

related to References · 93
Hardy space → Academic PressFefferman, Acta Mathematica, Adriano, American Mathematical Society, An Introduction, Analytic Functions, Ann Arbor, Banach Spaces, Basel, Benjamin MR, BF01192397, BF02392215, Birkhäuser, Blaschke Products, Bounded Analytic Functions, Burkholder, Cambridge University Press, Cambridge University PressMashreghi, Charles, Cima
related to On the unit circle · 11
Hardy space → Banach, Denote, Fourier, Given, Katznelson, Lp, Since, The, The Hardy, This, Thm
related to Beurling factorization · 9
Hardy space → Beurling, For, Gh, Hardy, Hp, One, Rudin, This, Thm
related to Link between real- and complex-variable Hardy spaces · 8
Hardy space → For, Hardy, It, Let Pr, Poisson, Real-variable, Rn, The
related to On the upper half plane · 7
Hardy space → For, Hardy, Mf, Möbius, The, The Hardy, Then
related to On the real vector space · 5
Hardy space → Hardy, In, Phi, Schwartz, The
related to On the unit disk · 4
Hardy space → Hardy, If, The, The Hardy

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Important terminology

displaystyle hardy function spaces space functions hp unit real circle mathbb lp defined infty bounded martingale disk every belongs holomorphic

Entity relationships Subject–Predicate–Object triples

SubjectPredicateObjectConfidenceSrc
control theoryinstance ofboth in mathematical analysis itself as well as in interdisciplinary areas0.80text
Hardy spacerelated to Beurling factorizationFor0.60section
Hardy spacerelated to Beurling factorizationHp0.60section
Hardy spacerelated to Beurling factorizationGh0.60section
Hardy spacerelated to Beurling factorizationRudin0.60section
Hardy spacerelated to Beurling factorizationThm0.60section
Hardy spacerelated to Beurling factorizationThis0.60section
Hardy spacerelated to Beurling factorizationBeurling0.60section
Hardy spacerelated to Beurling factorizationHardy0.60section
Hardy spacerelated to Beurling factorizationOne0.60section
Hardy spacerelated to Link between real- and complex-variable Hardy spacesReal-variable0.60section
Hardy spacerelated to Link between real- and complex-variable Hardy spacesHardy0.60section

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