A weighted Hardy space variant of the Marcinkiewicz interpolation theorem

DOI10.1016/0022-247X(82)90117-2zbMath0494.42012MaRDI QIDQ1169119

D. C. Vaughan

Publication date: 1982

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

zbMATH Keywords

atomic decompositionsweight functionsatomsLorentz-Zygmund spacesHardy's inequality

Mathematics Subject Classification ID

Spaces of measurable functions ((L^p)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.) (46E30) Singular and oscillatory integrals (Calderón-Zygmund, etc.) (42B20) Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Trigonometric interpolation (42A15) (H^p)-spaces (42B30)

Related Items (1)

Interpolation of linear operators

Cites Work

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• On L(p,q) spaces
• An extension of the interpolation theorem of Marcinkiewicz. II
• Extensions of Hardy spaces and their use in analysis
• The Marcinkiewicz interpolation theorem extends to weighted spaces
• A characterization of $H^{p}(R^{n})$ in terms of atoms
• Hardy Inequalities with Mixed Norms
• Intermediate spaces and interpolation, the complex method
• Weighted Norm Inequalities for the Hardy Maximal Function

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