Estimates for the Poisson kernel and Hardy spaces on compact manifolds

DOI10.1016/j.jmaa.2004.03.080zbMath1057.43003OpenAlexW2004138522MaRDI QIDQ703883

J. Hounie, L. A. Carvalho dos Santos

Publication date: 12 January 2005

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

Full work available at URL: https://doi.org/10.1016/j.jmaa.2004.03.080

zbMATH Keywords

Poisson integralHardy spacesholomorphic functionsmaximal functionsweak boundary values

Mathematics Subject Classification ID

Maximal functions, Littlewood-Paley theory (42B25) (H^p)-spaces (42B30) Analysis on ordered groups, (H^p)-theory (43A17)

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Cites Work

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• Estimates for the kernel and continuity properties of pseudo-differential operators
• A microlocal F. and M. Riesz theorem with applications
• A local version of real Hardy spaces
• \(H^p\) spaces of several variables
• Elliptic Partial Differential Equations of Second Order
• The Hardy Space H¹ on Manifolds and Submanifolds

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