Optimal logarithmic estimates in the Hardy-Sobolev space of the disk and stability results

DOI10.1016/j.jmaa.2012.05.055zbMath1250.30051arXiv1205.4704OpenAlexW2964226586MaRDI QIDQ441990

Imed Feki, Franck Wielonsky, Houda Nfata

Publication date: 8 August 2012

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1205.4704

zbMATH Keywords

interpolationHardy-Sobolev spaceHardy-Landau-Littlewood inequalitylogarithmic estimate

Mathematics Subject Classification ID

Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Moment problems and interpolation problems in the complex plane (30E05) Hardy spaces (30H10)

Related Items (3)

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

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