Abstract Hardy-Sobolev spaces and interpolation

DOI10.1016/j.jfa.2010.02.012zbMath1203.46017arXiv0901.0518OpenAlexW2118595942WikidataQ126081767 ScholiaQ126081767MaRDI QIDQ984415

Nadine Badr, Frédéric Bernicot

Publication date: 19 July 2010

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0901.0518

zbMATH Keywords

Sobolev spacesRiemannian manifoldatomic decompositionreal interpolationHardy-Sobolev spacesRiesz inequalities

Mathematics Subject Classification ID

Function spaces arising in harmonic analysis (42B35) Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) (H^p)-spaces (42B30) Interpolation between normed linear spaces (46B70)

Related Items (7)

Hardy-Sobolev spaces associated with Hermite expansions and interpolation ⋮ Boundary layers, Rellich estimates and extrapolation of solvability for elliptic systems ⋮ Abstract Hardy spaces ⋮ The characterizations of Hardy–Sobolev spaces by fractional square functions related to Schrödinger operators ⋮ Regularities of time-fractional derivatives of semigroups related to Schrödinger operators with application to Hardy-Sobolev spaces on Heisenberg groups ⋮ An atomic decomposition of the Hajłasz Sobolev space on manifolds ⋮ A 𝑇(1)-theorem in relation to a semigroup of operators and applications to new paraproducts

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