Real hardy spaces of an annulus

DOI10.1017/S0004972700011515zbMath0512.42023MaRDI QIDQ4751159

Hwai-Chiuan Wang

Publication date: 1983

Published in: Bulletin of the Australian Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

Dirichlet problemsannulusharmonic functionsHilbert transformsreal Hardy spacesconjugate Poisson kernel

Mathematics Subject Classification ID

Banach algebras of differentiable or analytic functions, (H^p)-spaces (46J15) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) (H^p)-spaces (42B30) Integral representations, integral operators, integral equations methods in two dimensions (31A10) Boundary behavior (theorems of Fatou type, etc.) of harmonic functions in two dimensions (31A20)

Related Items (5)

A generalization to the Hardy-Sobolev spaces $H^{k,p}$ of an $L^p$-$L^1$ logarithmic type estimate ⋮ Pointwise inequalities of logarithmic type in Hardy-Hölder spaces ⋮ On \(L^p\)-\(L^1\) estimates of logarithmic-type in Hardy-Sobolev spaces of the disk and the annulus ⋮ Stable phase retrieval in infinite dimensions ⋮ Estimates in the Hardy-Sobolev space of the annulus and stability result

Cites Work

• A local version of real Hardy spaces
• \(H^p\) spaces of several variables
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