On the recovery of functions from pointwise boundary values in a Hardy- Sobolev class of the disk

DOI10.1016/0377-0427(93)90300-ZzbMath0818.65017MaRDI QIDQ1802173

Martin Zerner, Laurent Baratchard

Publication date: 8 August 1993

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

zbMATH Keywords

uniform convergenceanalytic functionsboundary valuesHardy-Sobolev classdiscrete operatorsconvergent interpolation

Mathematics Subject Classification ID

Approximation in the complex plane (30E10) General theory of numerical methods in complex analysis (potential theory, etc.) (65E05)

Related Items (9)

Optimal logarithmic estimates in Hardy-Sobolev spaces \(H^{k,\infty}\) ⋮ Rational wavelet decompositions of transfer functions in Hardy-Sobolev classes ⋮ 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 ⋮ Optimal logarithmic estimates in the Hardy-Sobolev space of the disk and stability results ⋮ On \(L^p\)-\(L^1\) estimates of logarithmic-type in Hardy-Sobolev spaces of the disk and the annulus ⋮ Growth estimates in the Hardy--Sobolev space of an annular domain with applications ⋮ Analytic extensions and Cauchy-type inverse problems on annular domains: stability results ⋮ Estimates in the Hardy-Sobolev space of the annulus and stability result

Cites Work

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• The stability of input-output dynamical systems
• Robust identification in \(H_{\infty{}}\)
• Discrete approximating operators on function algebras
• Interpolation of individual functions
• On a class of interpolation spaces
• Recovery of H p -Functions

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