Area integrals for Riesz measures on the Siegel upper half space of type II

DOI10.2748/tmj/1178227254zbMath0779.32002OpenAlexW2062315579MaRDI QIDQ1802560

Hitoshi Arai

Publication date: 17 June 1993

Published in: Tôhoku Mathematical Journal. Second Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2748/tmj/1178227254

zbMATH Keywords

subharmonic functionsarea integralsSiegel upper half-space

Mathematics Subject Classification ID

Maximal functions, Littlewood-Paley theory (42B25) (H^p)-spaces, Nevanlinna spaces of functions in several complex variables (32A35) Harmonic, subharmonic, superharmonic functions on other spaces (31C05)

Cites Work

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• Some new function spaces and their applications to harmonic analysis.
• Estimates of the area integrals by the non-tangential maximal functions
• On McConnell's inequality for functionals of subharmonic functions
• Some results in \(H^ p\) theory for the Heisenberg group
• Good λ inequalities for the area integral and the nontangential maximal function
• Mesures de Carleson d'ordre $\alpha$ et solutions au bord de l'équation $\overline\partial$
• Hardy Spaces on Homogeneous Groups. (MN-28), Volume 28

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